Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [671,2,Mod(6,671)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(671, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([54, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("671.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 671 = 11 \cdot 61 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 671.dc (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.35796197563\) |
Analytic rank: | \(0\) |
Dimension: | \(960\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 6.5 | ||
Character | \(\chi\) | \(=\) | 671.6 |
Dual form | 671.2.dc.a.112.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/671\mathbb{Z}\right)^\times\).
\(n\) | \(123\) | \(551\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{7}{60}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.48848 | − | 0.130416i | −1.75962 | − | 0.0922178i | −0.855051 | − | 0.518543i | \(-0.826475\pi\) |
−0.904570 | + | 0.426325i | \(0.859808\pi\) | |||||||
\(3\) | −0.819826 | + | 0.266378i | −0.473327 | + | 0.153793i | −0.535960 | − | 0.844243i | \(-0.680050\pi\) |
0.0626332 | + | 0.998037i | \(0.480050\pi\) | |||||||
\(4\) | 4.18648 | + | 0.440017i | 2.09324 | + | 0.220009i | ||||
\(5\) | 1.51849 | + | 0.876700i | 0.679089 | + | 0.392072i | 0.799512 | − | 0.600651i | \(-0.205092\pi\) |
−0.120423 | + | 0.992723i | \(0.538425\pi\) | |||||||
\(6\) | 2.07486 | − | 0.555957i | 0.847058 | − | 0.226969i | ||||
\(7\) | 1.01726 | + | 0.0533122i | 0.384487 | + | 0.0201501i | 0.243601 | − | 0.969876i | \(-0.421671\pi\) |
0.140887 | + | 0.990026i | \(0.455005\pi\) | |||||||
\(8\) | −5.43816 | − | 0.861320i | −1.92268 | − | 0.304523i | ||||
\(9\) | −1.82589 | + | 1.32659i | −0.608631 | + | 0.442196i | ||||
\(10\) | −3.66439 | − | 2.37969i | −1.15878 | − | 0.752523i | ||||
\(11\) | 0.0714210 | − | 3.31586i | 0.0215342 | − | 0.999768i | ||||
\(12\) | −3.54940 | + | 0.754448i | −1.02462 | + | 0.217790i | ||||
\(13\) | −1.27745 | + | 6.00995i | −0.354302 | + | 1.66686i | 0.334871 | + | 0.942264i | \(0.391307\pi\) |
−0.689173 | + | 0.724597i | \(0.742026\pi\) | |||||||
\(14\) | −2.52447 | − | 0.265333i | −0.674694 | − | 0.0709132i | ||||
\(15\) | −1.47843 | − | 0.314250i | −0.381729 | − | 0.0811390i | ||||
\(16\) | 5.18532 | + | 1.10217i | 1.29633 | + | 0.275544i | ||||
\(17\) | −0.644128 | + | 2.40392i | −0.156224 | + | 0.583036i | 0.842774 | + | 0.538268i | \(0.180921\pi\) |
−0.998997 | + | 0.0447672i | \(0.985745\pi\) | |||||||
\(18\) | 4.71671 | − | 3.06307i | 1.11174 | − | 0.721972i | ||||
\(19\) | −4.70249 | + | 5.22265i | −1.07883 | + | 1.19816i | −0.0996759 | + | 0.995020i | \(0.531781\pi\) |
−0.979150 | + | 0.203138i | \(0.934886\pi\) | |||||||
\(20\) | 5.97137 | + | 4.33845i | 1.33524 | + | 0.970107i | ||||
\(21\) | −0.848175 | + | 0.227268i | −0.185087 | + | 0.0495939i | ||||
\(22\) | −0.610170 | + | 8.24213i | −0.130089 | + | 1.75723i | ||||
\(23\) | 2.66459 | − | 5.22955i | 0.555605 | − | 1.09044i | −0.426917 | − | 0.904291i | \(-0.640400\pi\) |
0.982522 | − | 0.186146i | \(-0.0595997\pi\) | |||||||
\(24\) | 4.68778 | − | 0.742472i | 0.956890 | − | 0.151556i | ||||
\(25\) | −0.962794 | − | 1.66761i | −0.192559 | − | 0.333522i | ||||
\(26\) | 3.96271 | − | 14.7890i | 0.777152 | − | 2.90037i | ||||
\(27\) | 2.66358 | − | 3.66611i | 0.512607 | − | 0.705542i | ||||
\(28\) | 4.23527 | + | 0.670801i | 0.800392 | + | 0.126770i | ||||
\(29\) | 0.0266477 | + | 0.0694197i | 0.00494836 | + | 0.0128909i | 0.936032 | − | 0.351914i | \(-0.114469\pi\) |
−0.931084 | + | 0.364805i | \(0.881136\pi\) | |||||||
\(30\) | 3.63806 | + | 0.974815i | 0.664216 | + | 0.177976i | ||||
\(31\) | −5.26272 | − | 6.49891i | −0.945212 | − | 1.16724i | −0.985776 | − | 0.168062i | \(-0.946249\pi\) |
0.0405646 | − | 0.999177i | \(-0.487084\pi\) | |||||||
\(32\) | −2.12316 | − | 0.568898i | −0.375324 | − | 0.100568i | ||||
\(33\) | 0.824717 | + | 2.73745i | 0.143565 | + | 0.476529i | ||||
\(34\) | 1.91641 | − | 5.89810i | 0.328661 | − | 1.01152i | ||||
\(35\) | 1.49796 | + | 0.972784i | 0.253201 | + | 0.164431i | ||||
\(36\) | −8.22779 | + | 4.75032i | −1.37130 | + | 0.791720i | ||||
\(37\) | 4.18453 | + | 8.21260i | 0.687932 | + | 1.35014i | 0.925491 | + | 0.378770i | \(0.123653\pi\) |
−0.237558 | + | 0.971373i | \(0.576347\pi\) | |||||||
\(38\) | 12.3832 | − | 12.3832i | 2.00882 | − | 2.00882i | ||||
\(39\) | −0.553626 | − | 5.26740i | −0.0886511 | − | 0.843459i | ||||
\(40\) | −7.50267 | − | 6.07554i | −1.18628 | − | 0.960628i | ||||
\(41\) | 2.94722 | 0.460278 | 0.230139 | − | 0.973158i | \(-0.426082\pi\) | ||||
0.230139 | + | 0.973158i | \(0.426082\pi\) | |||||||
\(42\) | 2.14031 | − | 0.454936i | 0.330257 | − | 0.0701982i | ||||
\(43\) | −0.0709303 | + | 1.35343i | −0.0108168 | + | 0.206396i | 0.987875 | + | 0.155254i | \(0.0496196\pi\) |
−0.998691 | + | 0.0511424i | \(0.983714\pi\) | |||||||
\(44\) | 1.75804 | − | 13.8503i | 0.265034 | − | 2.08802i | ||||
\(45\) | −3.93562 | + | 0.413650i | −0.586688 | + | 0.0616634i | ||||
\(46\) | −7.31279 | + | 12.6661i | −1.07821 | + | 1.86752i | ||||
\(47\) | −0.707765 | + | 6.73393i | −0.103238 | + | 0.982245i | 0.813177 | + | 0.582016i | \(0.197736\pi\) |
−0.916415 | + | 0.400229i | \(0.868931\pi\) | |||||||
\(48\) | −4.54466 | + | 0.477663i | −0.655965 | + | 0.0689447i | ||||
\(49\) | −5.92968 | − | 0.623235i | −0.847097 | − | 0.0890335i | ||||
\(50\) | 2.17841 | + | 4.27537i | 0.308074 | + | 0.604629i | ||||
\(51\) | −0.112277 | − | 2.14237i | −0.0157219 | − | 0.299992i | ||||
\(52\) | −7.99252 | + | 24.5985i | −1.10836 | + | 3.41119i | ||||
\(53\) | −7.67763 | − | 7.67763i | −1.05460 | − | 1.05460i | −0.998421 | − | 0.0561827i | \(-0.982107\pi\) |
−0.0561827 | − | 0.998421i | \(-0.517893\pi\) | |||||||
\(54\) | −7.10639 | + | 8.77566i | −0.967057 | + | 1.19422i | ||||
\(55\) | 3.01546 | − | 4.97248i | 0.406605 | − | 0.670489i | ||||
\(56\) | −5.48609 | − | 1.16611i | −0.733110 | − | 0.155827i | ||||
\(57\) | 2.46403 | − | 5.53430i | 0.326369 | − | 0.733036i | ||||
\(58\) | −0.0572590 | − | 0.176225i | −0.00751847 | − | 0.0231395i | ||||
\(59\) | 2.92719 | + | 10.9244i | 0.381087 | + | 1.42224i | 0.844243 | + | 0.535961i | \(0.180050\pi\) |
−0.463156 | + | 0.886277i | \(0.653283\pi\) | |||||||
\(60\) | −6.05115 | − | 1.96614i | −0.781200 | − | 0.253827i | ||||
\(61\) | −2.95020 | + | 7.23162i | −0.377735 | + | 0.925914i | ||||
\(62\) | 12.2486 | + | 16.8588i | 1.55557 | + | 2.14106i | ||||
\(63\) | −1.92813 | + | 1.25214i | −0.242921 | + | 0.157755i | ||||
\(64\) | −4.87418 | − | 1.58372i | −0.609273 | − | 0.197965i | ||||
\(65\) | −7.20873 | + | 8.00610i | −0.894132 | + | 0.993035i | ||||
\(66\) | −1.69529 | − | 6.91965i | −0.208675 | − | 0.851749i | ||||
\(67\) | −5.35218 | + | 3.47575i | −0.653873 | + | 0.424630i | −0.828488 | − | 0.560007i | \(-0.810799\pi\) |
0.174615 | + | 0.984637i | \(0.444132\pi\) | |||||||
\(68\) | −3.75439 | + | 9.78053i | −0.455287 | + | 1.18606i | ||||
\(69\) | −0.791464 | + | 4.99711i | −0.0952811 | + | 0.601581i | ||||
\(70\) | −3.60077 | − | 2.61611i | −0.430374 | − | 0.312685i | ||||
\(71\) | −7.66396 | − | 9.46421i | −0.909545 | − | 1.12319i | −0.991954 | − | 0.126596i | \(-0.959595\pi\) |
0.0824093 | − | 0.996599i | \(-0.473739\pi\) | |||||||
\(72\) | 11.0721 | − | 5.64153i | 1.30486 | − | 0.664861i | ||||
\(73\) | −7.97600 | − | 7.18163i | −0.933521 | − | 0.840546i | 0.0539185 | − | 0.998545i | \(-0.482829\pi\) |
−0.987439 | + | 0.158000i | \(0.949496\pi\) | |||||||
\(74\) | −9.34207 | − | 20.9826i | −1.08599 | − | 2.43918i | ||||
\(75\) | 1.23354 | + | 1.11068i | 0.142437 | + | 0.128250i | ||||
\(76\) | −21.9850 | + | 19.7953i | −2.52185 | + | 2.27068i | ||||
\(77\) | 0.249429 | − | 3.36927i | 0.0284251 | − | 0.383964i | ||||
\(78\) | 0.690736 | + | 13.1800i | 0.0782104 | + | 1.49234i | ||||
\(79\) | −0.649892 | − | 2.42543i | −0.0731185 | − | 0.272882i | 0.919682 | − | 0.392665i | \(-0.128447\pi\) |
−0.992800 | + | 0.119783i | \(0.961780\pi\) | |||||||
\(80\) | 6.90758 | + | 6.21961i | 0.772291 | + | 0.695374i | ||||
\(81\) | 0.885183 | − | 2.72431i | 0.0983536 | − | 0.302701i | ||||
\(82\) | −7.33409 | − | 0.384363i | −0.809915 | − | 0.0424458i | ||||
\(83\) | −2.55363 | + | 0.268397i | −0.280297 | + | 0.0294605i | −0.243634 | − | 0.969867i | \(-0.578340\pi\) |
−0.0366634 | + | 0.999328i | \(0.511673\pi\) | |||||||
\(84\) | −3.65087 | + | 0.578242i | −0.398343 | + | 0.0630913i | ||||
\(85\) | −3.08562 | + | 3.08562i | −0.334682 | + | 0.334682i | ||||
\(86\) | 0.353017 | − | 3.35873i | 0.0380668 | − | 0.362182i | ||||
\(87\) | −0.0403384 | − | 0.0498137i | −0.00432473 | − | 0.00534059i | ||||
\(88\) | −3.24441 | + | 17.9706i | −0.345856 | + | 1.91568i | ||||
\(89\) | −11.3526 | + | 1.79808i | −1.20337 | + | 0.190596i | −0.725744 | − | 0.687965i | \(-0.758504\pi\) |
−0.477630 | + | 0.878561i | \(0.658504\pi\) | |||||||
\(90\) | 9.84766 | − | 0.516094i | 1.03803 | − | 0.0544011i | ||||
\(91\) | −1.61990 | + | 6.04557i | −0.169812 | + | 0.633747i | ||||
\(92\) | 13.4564 | − | 20.7210i | 1.40292 | − | 2.16031i | ||||
\(93\) | 6.04568 | + | 3.92611i | 0.626907 | + | 0.407118i | ||||
\(94\) | 2.63947 | − | 16.6650i | 0.272240 | − | 1.71886i | ||||
\(95\) | −11.7194 | + | 3.80786i | −1.20238 | + | 0.390678i | ||||
\(96\) | 1.89216 | − | 0.0991639i | 0.193118 | − | 0.0101209i | ||||
\(97\) | 14.6952 | + | 1.54452i | 1.49207 | + | 0.156823i | 0.815156 | − | 0.579241i | \(-0.196651\pi\) |
0.676912 | + | 0.736064i | \(0.263318\pi\) | |||||||
\(98\) | 14.6746 | + | 2.32423i | 1.48236 | + | 0.234783i | ||||
\(99\) | 4.26837 | + | 6.14915i | 0.428987 | + | 0.618012i | ||||
\(100\) | −3.29694 | − | 7.40506i | −0.329694 | − | 0.740506i | ||||
\(101\) | −9.12807 | + | 5.92784i | −0.908277 | + | 0.589842i | −0.912018 | − | 0.410151i | \(-0.865476\pi\) |
0.00374052 | + | 0.999993i | \(0.498809\pi\) | |||||||
\(102\) | 5.34590i | 0.529323i | ||||||||
\(103\) | 8.19280 | + | 14.1903i | 0.807261 | + | 1.39822i | 0.914754 | + | 0.404011i | \(0.132384\pi\) |
−0.107494 | + | 0.994206i | \(0.534283\pi\) | |||||||
\(104\) | 12.1235 | − | 31.5828i | 1.18881 | − | 3.09695i | ||||
\(105\) | −1.48719 | − | 0.398492i | −0.145135 | − | 0.0388888i | ||||
\(106\) | 18.1043 | + | 20.1069i | 1.75845 | + | 1.95296i | ||||
\(107\) | −0.399434 | − | 3.80036i | −0.0386148 | − | 0.367395i | −0.996717 | − | 0.0809677i | \(-0.974199\pi\) |
0.958102 | − | 0.286427i | \(-0.0924677\pi\) | |||||||
\(108\) | 12.7642 | − | 14.1761i | 1.22823 | − | 1.36409i | ||||
\(109\) | −3.62075 | + | 6.27132i | −0.346805 | + | 0.600684i | −0.985680 | − | 0.168627i | \(-0.946067\pi\) |
0.638875 | + | 0.769311i | \(0.279400\pi\) | |||||||
\(110\) | −8.15241 | + | 11.9806i | −0.777302 | + | 1.14231i | ||||
\(111\) | −5.61824 | − | 5.61824i | −0.533260 | − | 0.533260i | ||||
\(112\) | 5.21605 | + | 1.39764i | 0.492870 | + | 0.132064i | ||||
\(113\) | 11.1551 | + | 3.62450i | 1.04938 | + | 0.340964i | 0.782425 | − | 0.622745i | \(-0.213982\pi\) |
0.266955 | + | 0.963709i | \(0.413982\pi\) | |||||||
\(114\) | −6.85345 | + | 13.4507i | −0.641884 | + | 1.25977i | ||||
\(115\) | 8.63090 | − | 5.60497i | 0.804835 | − | 0.522666i | ||||
\(116\) | 0.0810144 | + | 0.302350i | 0.00752200 | + | 0.0280725i | ||||
\(117\) | −5.64024 | − | 12.6682i | −0.521440 | − | 1.17117i | ||||
\(118\) | −5.85953 | − | 27.5669i | −0.539414 | − | 2.53774i | ||||
\(119\) | −0.783402 | + | 2.41106i | −0.0718143 | + | 0.221022i | ||||
\(120\) | 7.76927 | + | 2.98234i | 0.709234 | + | 0.272250i | ||||
\(121\) | −10.9898 | − | 0.473643i | −0.999073 | − | 0.0430585i | ||||
\(122\) | 8.28464 | − | 17.6110i | 0.750056 | − | 1.59442i | ||||
\(123\) | −2.41620 | + | 0.785072i | −0.217862 | + | 0.0707876i | ||||
\(124\) | −19.1726 | − | 29.5233i | −1.72175 | − | 2.65127i | ||||
\(125\) | − | 12.1433i | − | 1.08613i | ||||||
\(126\) | 4.96141 | − | 2.86447i | 0.441997 | − | 0.255187i | ||||
\(127\) | −7.60683 | + | 13.1754i | −0.674997 | + | 1.16913i | 0.301473 | + | 0.953475i | \(0.402522\pi\) |
−0.976470 | + | 0.215654i | \(0.930812\pi\) | |||||||
\(128\) | 16.0269 | + | 6.15214i | 1.41659 | + | 0.543778i | ||||
\(129\) | −0.302373 | − | 1.12847i | −0.0266225 | − | 0.0993564i | ||||
\(130\) | 18.9829 | − | 18.9829i | 1.66491 | − | 1.66491i | ||||
\(131\) | −9.73934 | + | 3.16450i | −0.850930 | + | 0.276484i | −0.701836 | − | 0.712339i | \(-0.747636\pi\) |
−0.149095 | + | 0.988823i | \(0.547636\pi\) | |||||||
\(132\) | 2.24814 | + | 11.8232i | 0.195675 | + | 1.02908i | ||||
\(133\) | −5.06208 | + | 5.06208i | −0.438938 | + | 0.438938i | ||||
\(134\) | 13.7721 | − | 7.95132i | 1.18973 | − | 0.686889i | ||||
\(135\) | 7.25870 | − | 3.23178i | 0.624729 | − | 0.278147i | ||||
\(136\) | 5.57341 | − | 12.5181i | 0.477916 | − | 1.07342i | ||||
\(137\) | −3.08577 | + | 1.37387i | −0.263635 | + | 0.117378i | −0.534298 | − | 0.845296i | \(-0.679424\pi\) |
0.270663 | + | 0.962674i | \(0.412757\pi\) | |||||||
\(138\) | 2.62124 | − | 12.3320i | 0.223135 | − | 1.04977i | ||||
\(139\) | 8.48460 | − | 6.87070i | 0.719655 | − | 0.582765i | −0.197972 | − | 0.980208i | \(-0.563436\pi\) |
0.917627 | + | 0.397443i | \(0.130102\pi\) | |||||||
\(140\) | 5.84313 | + | 4.73167i | 0.493834 | + | 0.399899i | ||||
\(141\) | −1.21352 | − | 5.70918i | −0.102197 | − | 0.480800i | ||||
\(142\) | 17.8373 | + | 24.5510i | 1.49688 | + | 2.06027i | ||||
\(143\) | 19.8369 | + | 4.66509i | 1.65884 | + | 0.390115i | ||||
\(144\) | −10.9300 | + | 4.86634i | −0.910832 | + | 0.405528i | ||||
\(145\) | −0.0203960 | + | 0.128775i | −0.00169379 | + | 0.0106942i | ||||
\(146\) | 18.9115 | + | 18.9115i | 1.56513 | + | 1.56513i | ||||
\(147\) | 5.02732 | − | 1.06859i | 0.414647 | − | 0.0881359i | ||||
\(148\) | 13.9048 | + | 36.2232i | 1.14297 | + | 2.97753i | ||||
\(149\) | −7.68803 | − | 5.58568i | −0.629828 | − | 0.457597i | 0.226513 | − | 0.974008i | \(-0.427267\pi\) |
−0.856341 | + | 0.516412i | \(0.827267\pi\) | |||||||
\(150\) | −2.92478 | − | 2.92478i | −0.238807 | − | 0.238807i | ||||
\(151\) | 4.03621 | − | 3.26846i | 0.328462 | − | 0.265984i | −0.450876 | − | 0.892586i | \(-0.648888\pi\) |
0.779339 | + | 0.626603i | \(0.215555\pi\) | |||||||
\(152\) | 30.0713 | − | 24.3513i | 2.43910 | − | 1.97515i | ||||
\(153\) | −2.01290 | − | 5.24379i | −0.162733 | − | 0.423935i | ||||
\(154\) | −1.06011 | + | 8.35184i | −0.0854258 | + | 0.673010i | ||||
\(155\) | −2.29378 | − | 14.4824i | −0.184241 | − | 1.16325i | ||||
\(156\) | − | 22.2955i | − | 1.78507i | ||||||
\(157\) | 0.815188 | + | 15.5547i | 0.0650591 | + | 1.24140i | 0.814828 | + | 0.579702i | \(0.196831\pi\) |
−0.749769 | + | 0.661700i | \(0.769835\pi\) | |||||||
\(158\) | 1.30093 | + | 6.12039i | 0.103496 | + | 0.486912i | ||||
\(159\) | 8.33947 | + | 4.24917i | 0.661363 | + | 0.336981i | ||||
\(160\) | −2.72524 | − | 2.72524i | −0.215449 | − | 0.215449i | ||||
\(161\) | 2.98937 | − | 5.17775i | 0.235596 | − | 0.408064i | ||||
\(162\) | −2.55805 | + | 6.66396i | −0.200980 | + | 0.523570i | ||||
\(163\) | 11.3246 | − | 15.5870i | 0.887010 | − | 1.22086i | −0.0874193 | − | 0.996172i | \(-0.527862\pi\) |
0.974430 | − | 0.224693i | \(-0.0721380\pi\) | |||||||
\(164\) | 12.3385 | + | 1.29683i | 0.963472 | + | 0.101265i | ||||
\(165\) | −1.14760 | + | 4.87982i | −0.0893404 | + | 0.379893i | ||||
\(166\) | 6.38967 | − | 0.334868i | 0.495934 | − | 0.0259908i | ||||
\(167\) | −21.0960 | + | 9.39257i | −1.63246 | + | 0.726819i | −0.998901 | − | 0.0468747i | \(-0.985074\pi\) |
−0.633560 | + | 0.773693i | \(0.718407\pi\) | |||||||
\(168\) | 4.80827 | − | 0.505369i | 0.370966 | − | 0.0389901i | ||||
\(169\) | −22.6115 | − | 10.0673i | −1.73935 | − | 0.774408i | ||||
\(170\) | 8.08091 | − | 7.27608i | 0.619777 | − | 0.558050i | ||||
\(171\) | 1.65794 | − | 15.7743i | 0.126786 | − | 1.20629i | ||||
\(172\) | −0.892481 | + | 5.63490i | −0.0680510 | + | 0.429657i | ||||
\(173\) | −5.51025 | + | 2.11519i | −0.418936 | + | 0.160815i | −0.558699 | − | 0.829370i | \(-0.688699\pi\) |
0.139763 | + | 0.990185i | \(0.455366\pi\) | |||||||
\(174\) | 0.0938848 | + | 0.129221i | 0.00711739 | + | 0.00979624i | ||||
\(175\) | −0.890506 | − | 1.74772i | −0.0673159 | − | 0.132115i | ||||
\(176\) | 4.02499 | − | 17.1151i | 0.303395 | − | 1.29010i | ||||
\(177\) | −5.30980 | − | 8.17638i | −0.399109 | − | 0.614574i | ||||
\(178\) | 28.4852 | − | 2.99392i | 2.13506 | − | 0.224404i | ||||
\(179\) | −0.519534 | + | 0.110430i | −0.0388318 | + | 0.00825396i | −0.227287 | − | 0.973828i | \(-0.572985\pi\) |
0.188455 | + | 0.982082i | \(0.439652\pi\) | |||||||
\(180\) | −16.6584 | −1.24165 | ||||||||
\(181\) | 6.08641 | + | 4.92868i | 0.452399 | + | 0.366346i | 0.828273 | − | 0.560325i | \(-0.189324\pi\) |
−0.375873 | + | 0.926671i | \(0.622657\pi\) | |||||||
\(182\) | 4.81954 | − | 14.8330i | 0.357248 | − | 1.09950i | ||||
\(183\) | 0.492312 | − | 6.71454i | 0.0363927 | − | 0.496353i | ||||
\(184\) | −18.9948 | + | 26.1441i | −1.40031 | + | 1.92737i | ||||
\(185\) | −0.845826 | + | 16.1393i | −0.0621864 | + | 1.18659i | ||||
\(186\) | −14.5325 | − | 10.5585i | −1.06558 | − | 0.774186i | ||||
\(187\) | 7.92504 | + | 2.30752i | 0.579536 | + | 0.168743i | ||||
\(188\) | −5.92609 | + | 27.8801i | −0.432204 | + | 2.03336i | ||||
\(189\) | 2.90500 | − | 3.58737i | 0.211307 | − | 0.260943i | ||||
\(190\) | 29.6601 | − | 7.94739i | 2.15177 | − | 0.576564i | ||||
\(191\) | 6.20062 | + | 3.15938i | 0.448661 | + | 0.228604i | 0.663697 | − | 0.748002i | \(-0.268987\pi\) |
−0.215035 | + | 0.976606i | \(0.568987\pi\) | |||||||
\(192\) | 4.41785 | 0.318831 | ||||||||
\(193\) | −9.95632 | + | 8.06247i | −0.716671 | + | 0.580349i | −0.916765 | − | 0.399428i | \(-0.869209\pi\) |
0.200093 | + | 0.979777i | \(0.435875\pi\) | |||||||
\(194\) | −36.3672 | − | 5.76000i | −2.61101 | − | 0.413544i | ||||
\(195\) | 3.77725 | − | 8.48385i | 0.270495 | − | 0.607541i | ||||
\(196\) | −24.5503 | − | 5.21832i | −1.75359 | − | 0.372737i | ||||
\(197\) | −7.01943 | − | 12.1580i | −0.500114 | − | 0.866223i | −1.00000 | 0.000131644i | \(-0.999958\pi\) | |
0.499886 | − | 0.866091i | \(-0.333375\pi\) | |||||||
\(198\) | −9.81981 | − | 15.8587i | −0.697864 | − | 1.12703i | ||||
\(199\) | 0.708025 | + | 6.73641i | 0.0501906 | + | 0.477532i | 0.990530 | + | 0.137294i | \(0.0438407\pi\) |
−0.940340 | + | 0.340237i | \(0.889493\pi\) | |||||||
\(200\) | 3.79949 | + | 9.89800i | 0.268664 | + | 0.699894i | ||||
\(201\) | 3.46200 | − | 4.27521i | 0.244190 | − | 0.301550i | ||||
\(202\) | 23.4881 | − | 13.5609i | 1.65262 | − | 0.954139i | ||||
\(203\) | 0.0234067 | + | 0.0720384i | 0.00164283 | + | 0.00505611i | ||||
\(204\) | 0.472635 | − | 9.01842i | 0.0330911 | − | 0.631416i | ||||
\(205\) | 4.47531 | + | 2.58382i | 0.312570 | + | 0.180462i | ||||
\(206\) | −18.5370 | − | 36.3809i | −1.29153 | − | 2.53478i | ||||
\(207\) | 2.07221 | + | 13.0834i | 0.144029 | + | 0.909361i | ||||
\(208\) | −13.2480 | + | 29.7556i | −0.918586 | + | 2.06318i | ||||
\(209\) | 16.9817 | + | 15.9658i | 1.17465 | + | 1.10438i | ||||
\(210\) | 3.64888 | + | 1.18559i | 0.251796 | + | 0.0818136i | ||||
\(211\) | 17.6344 | − | 8.98515i | 1.21400 | − | 0.618563i | 0.274656 | − | 0.961543i | \(-0.411436\pi\) |
0.939343 | + | 0.342979i | \(0.111436\pi\) | |||||||
\(212\) | −28.7640 | − | 35.5205i | −1.97552 | − | 2.43956i | ||||
\(213\) | 8.80417 | + | 5.71749i | 0.603252 | + | 0.391756i | ||||
\(214\) | 0.498357 | + | 9.50922i | 0.0340670 | + | 0.650037i | ||||
\(215\) | −1.29426 | + | 1.99298i | −0.0882678 | + | 0.135920i | ||||
\(216\) | −17.6427 | + | 17.6427i | −1.20043 | + | 1.20043i | ||||
\(217\) | −5.00707 | − | 6.89164i | −0.339902 | − | 0.467835i | ||||
\(218\) | 9.82805 | − | 15.1339i | 0.665639 | − | 1.02499i | ||||
\(219\) | 8.45196 | + | 3.76305i | 0.571130 | + | 0.254284i | ||||
\(220\) | 14.8122 | − | 19.4903i | 0.998635 | − | 1.31404i | ||||
\(221\) | −13.6246 | − | 6.94207i | −0.916489 | − | 0.466974i | ||||
\(222\) | 13.2482 | + | 14.7136i | 0.889159 | + | 0.987511i | ||||
\(223\) | 8.46140 | + | 3.24803i | 0.566617 | + | 0.217504i | 0.624777 | − | 0.780803i | \(-0.285190\pi\) |
−0.0581598 | + | 0.998307i | \(0.518523\pi\) | |||||||
\(224\) | −2.12947 | − | 0.691906i | −0.142281 | − | 0.0462299i | ||||
\(225\) | 3.97019 | + | 1.76764i | 0.264679 | + | 0.117843i | ||||
\(226\) | −27.2865 | − | 10.4743i | −1.81507 | − | 0.696740i | ||||
\(227\) | 15.8549 | + | 19.5792i | 1.05233 | + | 1.29951i | 0.952509 | + | 0.304509i | \(0.0984923\pi\) |
0.0998168 | + | 0.995006i | \(0.468174\pi\) | |||||||
\(228\) | 12.7508 | − | 22.0850i | 0.844443 | − | 1.46262i | ||||
\(229\) | 6.35312 | + | 3.66798i | 0.419826 | + | 0.242387i | 0.695003 | − | 0.719007i | \(-0.255403\pi\) |
−0.275177 | + | 0.961394i | \(0.588736\pi\) | |||||||
\(230\) | −22.2088 | + | 12.8223i | −1.46440 | + | 0.845475i | ||||
\(231\) | 0.693010 | + | 2.82866i | 0.0455967 | + | 0.186112i | ||||
\(232\) | −0.0851221 | − | 0.400468i | −0.00558854 | − | 0.0262920i | ||||
\(233\) | 2.71132 | + | 1.38148i | 0.177624 | + | 0.0905041i | 0.540542 | − | 0.841317i | \(-0.318219\pi\) |
−0.362917 | + | 0.931821i | \(0.618219\pi\) | |||||||
\(234\) | 12.3835 | + | 32.2601i | 0.809535 | + | 2.10891i | ||||
\(235\) | −6.97837 | + | 9.60490i | −0.455219 | + | 0.626555i | ||||
\(236\) | 7.44769 | + | 47.0229i | 0.484803 | + | 3.06093i | ||||
\(237\) | 1.17888 | + | 1.81531i | 0.0765763 | + | 0.117917i | ||||
\(238\) | 2.26392 | − | 5.89772i | 0.146748 | − | 0.382292i | ||||
\(239\) | 14.6161 | − | 13.1604i | 0.945435 | − | 0.851273i | −0.0435860 | − | 0.999050i | \(-0.513878\pi\) |
0.989021 | + | 0.147776i | \(0.0472116\pi\) | |||||||
\(240\) | −7.31978 | − | 3.25898i | −0.472490 | − | 0.210366i | ||||
\(241\) | 2.66652 | − | 3.67015i | 0.171766 | − | 0.236415i | −0.714452 | − | 0.699685i | \(-0.753324\pi\) |
0.886218 | + | 0.463269i | \(0.153324\pi\) | |||||||
\(242\) | 27.2861 | + | 2.61190i | 1.75402 | + | 0.167899i | ||||
\(243\) | 16.0639i | 1.03050i | ||||||||
\(244\) | −15.5330 | + | 28.9769i | −0.994399 | + | 1.85506i | ||||
\(245\) | −8.45777 | − | 6.14493i | −0.540347 | − | 0.392585i | ||||
\(246\) | 6.11506 | − | 1.63853i | 0.389882 | − | 0.104469i | ||||
\(247\) | −25.3806 | − | 34.9335i | −1.61493 | − | 2.22276i | ||||
\(248\) | 23.0219 | + | 39.8750i | 1.46189 | + | 2.53207i | ||||
\(249\) | 2.02204 | − | 0.900269i | 0.128141 | − | 0.0570523i | ||||
\(250\) | −1.58368 | + | 30.2184i | −0.100161 | + | 1.91118i | ||||
\(251\) | −5.64812 | − | 2.16811i | −0.356506 | − | 0.136850i | 0.173522 | − | 0.984830i | \(-0.444485\pi\) |
−0.530028 | + | 0.847980i | \(0.677819\pi\) | |||||||
\(252\) | −8.62304 | + | 4.39366i | −0.543200 | + | 0.276774i | ||||
\(253\) | −17.1501 | − | 9.20889i | −1.07822 | − | 0.578958i | ||||
\(254\) | 20.6477 | − | 31.7947i | 1.29555 | − | 1.99498i | ||||
\(255\) | 1.70773 | − | 3.35161i | 0.106942 | − | 0.209886i | ||||
\(256\) | −29.7164 | − | 13.2306i | −1.85727 | − | 0.826911i | ||||
\(257\) | −1.12987 | − | 10.7500i | −0.0704795 | − | 0.670567i | −0.971540 | − | 0.236875i | \(-0.923877\pi\) |
0.901061 | − | 0.433693i | \(-0.142790\pi\) | |||||||
\(258\) | 0.605279 | + | 2.84761i | 0.0376830 | + | 0.177285i | ||||
\(259\) | 3.81891 | + | 8.57742i | 0.237296 | + | 0.532975i | ||||
\(260\) | −33.7020 | + | 30.3454i | −2.09011 | + | 1.88194i | ||||
\(261\) | −0.140747 | − | 0.0914025i | −0.00871205 | − | 0.00565767i | ||||
\(262\) | 24.6489 | − | 6.60464i | 1.52281 | − | 0.408036i | ||||
\(263\) | −0.186011 | + | 1.76977i | −0.0114699 | + | 0.109129i | −0.998759 | − | 0.0498065i | \(-0.984140\pi\) |
0.987289 | + | 0.158936i | \(0.0508062\pi\) | |||||||
\(264\) | −2.12712 | − | 15.5970i | −0.130915 | − | 0.959931i | ||||
\(265\) | −4.92742 | − | 18.3894i | −0.302689 | − | 1.12965i | ||||
\(266\) | 13.2571 | − | 11.9367i | 0.812842 | − | 0.731887i | ||||
\(267\) | 8.82819 | − | 4.49819i | 0.540277 | − | 0.275285i | ||||
\(268\) | −23.9362 | + | 12.1961i | −1.46214 | + | 0.744996i | ||||
\(269\) | −6.32793 | + | 7.02788i | −0.385821 | + | 0.428498i | −0.904501 | − | 0.426471i | \(-0.859757\pi\) |
0.518681 | + | 0.854968i | \(0.326423\pi\) | |||||||
\(270\) | −18.4846 | + | 7.09557i | −1.12494 | + | 0.431823i | ||||
\(271\) | 5.25928 | + | 16.1864i | 0.319479 | + | 0.983254i | 0.973872 | + | 0.227099i | \(0.0729242\pi\) |
−0.654393 | + | 0.756155i | \(0.727076\pi\) | |||||||
\(272\) | −5.98955 | + | 11.7551i | −0.363170 | + | 0.712760i | ||||
\(273\) | −0.282364 | − | 5.38782i | −0.0170894 | − | 0.326086i | ||||
\(274\) | 7.85805 | − | 3.01642i | 0.474722 | − | 0.182229i | ||||
\(275\) | −5.59831 | + | 3.07338i | −0.337591 | + | 0.185332i | ||||
\(276\) | −5.51226 | + | 20.5721i | −0.331799 | + | 1.23829i | ||||
\(277\) | 6.31251 | + | 12.3890i | 0.379282 | + | 0.744383i | 0.999188 | − | 0.0402932i | \(-0.0128292\pi\) |
−0.619906 | + | 0.784676i | \(0.712829\pi\) | |||||||
\(278\) | −22.0098 | + | 15.9911i | −1.32006 | + | 0.959080i | ||||
\(279\) | 18.2305 | + | 4.88486i | 1.09143 | + | 0.292449i | ||||
\(280\) | −7.30825 | − | 6.58038i | −0.436751 | − | 0.393253i | ||||
\(281\) | 5.49980 | − | 10.7940i | 0.328091 | − | 0.643914i | −0.666759 | − | 0.745273i | \(-0.732319\pi\) |
0.994850 | + | 0.101359i | \(0.0323190\pi\) | |||||||
\(282\) | 2.27526 | + | 14.3655i | 0.135490 | + | 0.855450i | ||||
\(283\) | 3.02130 | + | 0.642198i | 0.179598 | + | 0.0381747i | 0.296833 | − | 0.954930i | \(-0.404070\pi\) |
−0.117235 | + | 0.993104i | \(0.537403\pi\) | |||||||
\(284\) | −27.9206 | − | 42.9940i | −1.65678 | − | 2.55123i | ||||
\(285\) | 8.59352 | − | 6.24356i | 0.509036 | − | 0.369837i | ||||
\(286\) | −48.7553 | − | 14.1960i | −2.88296 | − | 0.839429i | ||||
\(287\) | 2.99808 | + | 0.157123i | 0.176971 | + | 0.00927465i | ||||
\(288\) | 4.63135 | − | 1.77781i | 0.272905 | − | 0.104758i | ||||
\(289\) | 9.35851 | + | 5.40314i | 0.550501 | + | 0.317832i | ||||
\(290\) | 0.0675493 | − | 0.317795i | 0.00396663 | − | 0.0186615i | ||||
\(291\) | −12.4589 | + | 2.64822i | −0.730354 | + | 0.155242i | ||||
\(292\) | −30.2314 | − | 33.5753i | −1.76916 | − | 1.96485i | ||||
\(293\) | 5.17310 | − | 5.74531i | 0.302216 | − | 0.335645i | −0.572840 | − | 0.819667i | \(-0.694158\pi\) |
0.875055 | + | 0.484023i | \(0.160825\pi\) | |||||||
\(294\) | −12.6498 | + | 2.00352i | −0.737749 | + | 0.116848i | ||||
\(295\) | −5.13253 | + | 19.1549i | −0.298828 | + | 1.11524i | ||||
\(296\) | −15.6825 | − | 48.2657i | −0.911525 | − | 2.80539i | ||||
\(297\) | −11.9660 | − | 9.09389i | −0.694340 | − | 0.527681i | ||||
\(298\) | 18.4030 | + | 14.9025i | 1.06606 | + | 0.863278i | ||||
\(299\) | 28.0255 | + | 22.6946i | 1.62075 | + | 1.31246i | ||||
\(300\) | 4.67546 | + | 5.19263i | 0.269938 | + | 0.299796i | ||||
\(301\) | −0.144309 | + | 1.37301i | −0.00831782 | + | 0.0791388i | ||||
\(302\) | −10.4703 | + | 7.60711i | −0.602498 | + | 0.437740i | ||||
\(303\) | 5.90439 | − | 7.29131i | 0.339198 | − | 0.418875i | ||||
\(304\) | −30.1402 | + | 21.8982i | −1.72866 | + | 1.25595i | ||||
\(305\) | −10.8198 | + | 8.39469i | −0.619541 | + | 0.480679i | ||||
\(306\) | 4.32520 | + | 13.3116i | 0.247255 | + | 0.760972i | ||||
\(307\) | −3.88357 | + | 10.1170i | −0.221647 | + | 0.577411i | −0.998642 | − | 0.0520963i | \(-0.983410\pi\) |
0.776995 | + | 0.629507i | \(0.216743\pi\) | |||||||
\(308\) | 2.52677 | − | 13.9956i | 0.143976 | − | 0.797476i | ||||
\(309\) | −10.4967 | − | 9.45123i | −0.597134 | − | 0.537662i | ||||
\(310\) | 3.81930 | + | 36.3382i | 0.216922 | + | 2.06387i | ||||
\(311\) | 2.14480 | + | 0.112404i | 0.121621 | + | 0.00637387i | 0.113049 | − | 0.993589i | \(-0.463938\pi\) |
0.00857148 | + | 0.999963i | \(0.497272\pi\) | |||||||
\(312\) | −1.52621 | + | 29.1218i | −0.0864046 | + | 1.64870i | ||||
\(313\) | −33.6582 | + | 5.33094i | −1.90247 | + | 0.301322i | −0.993344 | − | 0.115188i | \(-0.963253\pi\) |
−0.909131 | + | 0.416510i | \(0.863253\pi\) | |||||||
\(314\) | − | 38.8139i | − | 2.19040i | ||||||
\(315\) | −4.02559 | + | 0.210972i | −0.226816 | + | 0.0118869i | ||||
\(316\) | −1.65353 | − | 10.4400i | −0.0930183 | − | 0.587295i | ||||
\(317\) | 12.3042 | + | 21.3115i | 0.691072 | + | 1.19697i | 0.971487 | + | 0.237094i | \(0.0761948\pi\) |
−0.280414 | + | 0.959879i | \(0.590472\pi\) | |||||||
\(318\) | −20.1984 | − | 11.6616i | −1.13267 | − | 0.653949i | ||||
\(319\) | 0.232089 | − | 0.0834020i | 0.0129945 | − | 0.00466962i | ||||
\(320\) | −6.01294 | − | 6.67805i | −0.336134 | − | 0.373314i | ||||
\(321\) | 1.33980 | + | 3.00924i | 0.0747803 | + | 0.167959i | ||||
\(322\) | −8.11426 | + | 12.4949i | −0.452190 | + | 0.696311i | ||||
\(323\) | −9.52581 | − | 14.6685i | −0.530030 | − | 0.816175i | ||||
\(324\) | 4.90455 | − | 11.0158i | 0.272475 | − | 0.611988i | ||||
\(325\) | 11.2522 | − | 3.65605i | 0.624158 | − | 0.202801i | ||||
\(326\) | −30.2138 | + | 37.3109i | −1.67339 | + | 2.06646i | ||||
\(327\) | 1.29784 | − | 6.10588i | 0.0717710 | − | 0.337656i | ||||
\(328\) | −16.0274 | − | 2.53850i | −0.884967 | − | 0.140165i | ||||
\(329\) | −1.07898 | + | 6.81241i | −0.0594861 | + | 0.375580i | ||||
\(330\) | 3.49218 | − | 11.9937i | 0.192238 | − | 0.660229i | ||||
\(331\) | 7.89201 | − | 6.39083i | 0.433784 | − | 0.351272i | −0.387423 | − | 0.921902i | \(-0.626635\pi\) |
0.821207 | + | 0.570631i | \(0.193301\pi\) | |||||||
\(332\) | −10.8088 | −0.593212 | ||||||||
\(333\) | −18.5353 | − | 9.44418i | −1.01573 | − | 0.517538i | ||||
\(334\) | 53.7220 | − | 20.6220i | 2.93954 | − | 1.12838i | ||||
\(335\) | −11.1744 | + | 0.585626i | −0.610524 | + | 0.0319962i | ||||
\(336\) | −4.64855 | + | 0.243620i | −0.253599 | + | 0.0132906i | ||||
\(337\) | 12.9880 | − | 4.98563i | 0.707502 | − | 0.271585i | 0.0221065 | − | 0.999756i | \(-0.492963\pi\) |
0.685395 | + | 0.728171i | \(0.259629\pi\) | |||||||
\(338\) | 54.9554 | + | 28.0012i | 2.98918 | + | 1.52306i | ||||
\(339\) | −10.1107 | −0.549138 | ||||||||
\(340\) | −14.2756 | + | 11.5602i | −0.774203 | + | 0.626937i | ||||
\(341\) | −21.9253 | + | 16.9862i | −1.18732 | + | 0.919857i | ||||
\(342\) | −6.18297 | + | 39.0378i | −0.334337 | + | 2.11092i | ||||
\(343\) | −13.0416 | − | 2.06558i | −0.704179 | − | 0.111531i | ||||
\(344\) | 1.55147 | − | 7.29908i | 0.0836495 | − | 0.393540i | ||||
\(345\) | −5.58280 | + | 6.89418i | −0.300568 | + | 0.371170i | ||||
\(346\) | 13.9880 | − | 4.54498i | 0.751999 | − | 0.244339i | ||||
\(347\) | 11.4782 | − | 25.7804i | 0.616181 | − | 1.38396i | −0.288337 | − | 0.957529i | \(-0.593102\pi\) |
0.904518 | − | 0.426436i | \(-0.140231\pi\) | |||||||
\(348\) | −0.146957 | − | 0.226294i | −0.00787772 | − | 0.0121306i | ||||
\(349\) | 12.4596 | − | 19.1861i | 0.666945 | − | 1.02701i | −0.329613 | − | 0.944116i | \(-0.606918\pi\) |
0.996559 | − | 0.0828898i | \(-0.0264149\pi\) | |||||||
\(350\) | 1.98808 | + | 4.46529i | 0.106267 | + | 0.238680i | ||||
\(351\) | 18.6305 | + | 20.6913i | 0.994423 | + | 1.10442i | ||||
\(352\) | −2.03802 | + | 6.99945i | −0.108627 | + | 0.373072i | ||||
\(353\) | 23.1025 | + | 13.3383i | 1.22962 | + | 0.709924i | 0.966951 | − | 0.254961i | \(-0.0820627\pi\) |
0.262673 | + | 0.964885i | \(0.415396\pi\) | |||||||
\(354\) | 12.1470 | + | 21.0392i | 0.645606 | + | 1.11822i | ||||
\(355\) | −3.34037 | − | 21.0903i | −0.177289 | − | 1.11936i | ||||
\(356\) | −48.3187 | + | 2.53227i | −2.56088 | + | 0.134210i | ||||
\(357\) | − | 2.18533i | − | 0.115660i | ||||||
\(358\) | 1.30725 | − | 0.207049i | 0.0690905 | − | 0.0109429i | ||||
\(359\) | −0.423442 | + | 8.07975i | −0.0223484 | + | 0.426433i | 0.964428 | + | 0.264345i | \(0.0851559\pi\) |
−0.986776 | + | 0.162087i | \(0.948177\pi\) | |||||||
\(360\) | 21.7588 | + | 1.14033i | 1.14679 | + | 0.0601008i | ||||
\(361\) | −3.17657 | − | 30.2230i | −0.167188 | − | 1.59069i | ||||
\(362\) | −14.5031 | − | 13.0587i | −0.762268 | − | 0.686349i | ||||
\(363\) | 9.13589 | − | 2.53913i | 0.479510 | − | 0.133270i | ||||
\(364\) | −9.44185 | + | 24.5969i | −0.494888 | + | 1.28923i | ||||
\(365\) | −5.81534 | − | 17.8978i | −0.304389 | − | 0.936813i | ||||
\(366\) | −2.10079 | + | 16.6448i | −0.109810 | + | 0.870037i | ||||
\(367\) | 2.14807 | − | 1.56066i | 0.112128 | − | 0.0814659i | −0.530308 | − | 0.847805i | \(-0.677924\pi\) |
0.642436 | + | 0.766339i | \(0.277924\pi\) | |||||||
\(368\) | 19.5806 | − | 24.1801i | 1.02071 | − | 1.26047i | ||||
\(369\) | −5.38130 | + | 3.90974i | −0.280139 | + | 0.203533i | ||||
\(370\) | 4.20964 | − | 40.0521i | 0.218849 | − | 2.08221i | ||||
\(371\) | −7.40081 | − | 8.21944i | −0.384231 | − | 0.426732i | ||||
\(372\) | 23.5826 | + | 19.0968i | 1.22270 | + | 0.990122i | ||||
\(373\) | −1.59029 | − | 1.28779i | −0.0823423 | − | 0.0666795i | 0.587265 | − | 0.809394i | \(-0.300204\pi\) |
−0.669608 | + | 0.742715i | \(0.733538\pi\) | |||||||
\(374\) | −19.4204 | − | 6.77578i | −1.00420 | − | 0.350367i | ||||
\(375\) | 3.23471 | + | 9.95541i | 0.167040 | + | 0.514095i | ||||
\(376\) | 9.64901 | − | 36.0106i | 0.497610 | − | 1.85711i | ||||
\(377\) | −0.451251 | + | 0.0714711i | −0.0232406 | + | 0.00368095i | ||||
\(378\) | −7.69688 | + | 8.54825i | −0.395885 | + | 0.439675i | ||||
\(379\) | 5.81417 | + | 6.45729i | 0.298654 | + | 0.331689i | 0.873730 | − | 0.486411i | \(-0.161694\pi\) |
−0.575076 | + | 0.818100i | \(0.695028\pi\) | |||||||
\(380\) | −50.7385 | + | 10.7848i | −2.60283 | + | 0.553249i | ||||
\(381\) | 2.72664 | − | 12.8278i | 0.139690 | − | 0.657190i | ||||
\(382\) | −15.0181 | − | 8.67070i | −0.768393 | − | 0.443632i | ||||
\(383\) | −7.19444 | + | 2.76169i | −0.367618 | + | 0.141116i | −0.535163 | − | 0.844749i | \(-0.679750\pi\) |
0.167544 | + | 0.985865i | \(0.446416\pi\) | |||||||
\(384\) | −14.7780 | − | 0.774484i | −0.754139 | − | 0.0395227i | ||||
\(385\) | 3.33260 | − | 4.89753i | 0.169845 | − | 0.249601i | ||||
\(386\) | 25.8276 | − | 18.7648i | 1.31459 | − | 0.955105i | ||||
\(387\) | −1.66594 | − | 2.56532i | −0.0846842 | − | 0.130402i | ||||
\(388\) | 60.8415 | + | 12.9323i | 3.08876 | + | 0.656536i | ||||
\(389\) | 5.03662 | + | 31.7999i | 0.255367 | + | 1.61232i | 0.698326 | + | 0.715779i | \(0.253928\pi\) |
−0.442960 | + | 0.896541i | \(0.646072\pi\) | |||||||
\(390\) | −10.5061 | + | 20.6193i | −0.531995 | + | 1.04410i | ||||
\(391\) | 10.8551 | + | 9.77395i | 0.548965 | + | 0.494290i | ||||
\(392\) | 31.7098 | + | 8.49661i | 1.60159 | + | 0.429144i | ||||
\(393\) | 7.14161 | − | 5.18869i | 0.360247 | − | 0.261735i | ||||
\(394\) | 15.8821 | + | 31.1704i | 0.800130 | + | 1.57034i | ||||
\(395\) | 1.13952 | − | 4.25275i | 0.0573355 | − | 0.213979i | ||||
\(396\) | 15.1637 | + | 27.6214i | 0.762006 | + | 1.38803i | ||||
\(397\) | −20.5891 | + | 7.90342i | −1.03334 | + | 0.396661i | −0.815153 | − | 0.579246i | \(-0.803347\pi\) |
−0.218185 | + | 0.975907i | \(0.570014\pi\) | |||||||
\(398\) | −0.883373 | − | 16.8558i | −0.0442795 | − | 0.844903i | ||||
\(399\) | 2.80160 | − | 5.49845i | 0.140255 | − | 0.275267i | ||||
\(400\) | −3.15440 | − | 9.70825i | −0.157720 | − | 0.485413i | ||||
\(401\) | 4.05311 | − | 1.55584i | 0.202403 | − | 0.0776952i | −0.255055 | − | 0.966927i | \(-0.582093\pi\) |
0.457458 | + | 0.889231i | \(0.348760\pi\) | |||||||
\(402\) | −9.17266 | + | 10.1873i | −0.457491 | + | 0.508095i | ||||
\(403\) | 45.7810 | − | 23.3266i | 2.28052 | − | 1.16198i | ||||
\(404\) | −40.8229 | + | 20.8003i | −2.03101 | + | 1.03485i | ||||
\(405\) | 3.73255 | − | 3.36080i | 0.185472 | − | 0.166999i | ||||
\(406\) | −0.0488522 | − | 0.182319i | −0.00242449 | − | 0.00904833i | ||||
\(407\) | 27.5307 | − | 13.2887i | 1.36464 | − | 0.658699i | ||||
\(408\) | −1.23469 | + | 11.7473i | −0.0611263 | + | 0.581577i | ||||
\(409\) | 29.3542 | − | 7.86543i | 1.45147 | − | 0.388920i | 0.554935 | − | 0.831893i | \(-0.312743\pi\) |
0.896535 | + | 0.442973i | \(0.146076\pi\) | |||||||
\(410\) | −10.7998 | − | 7.01345i | −0.533362 | − | 0.346369i | ||||
\(411\) | 2.16382 | − | 1.94832i | 0.106734 | − | 0.0961034i | ||||
\(412\) | 28.0550 | + | 63.0126i | 1.38217 | + | 3.10441i | ||||
\(413\) | 2.39530 | + | 11.2690i | 0.117865 | + | 0.554511i | ||||
\(414\) | −3.45037 | − | 32.8281i | −0.169576 | − | 1.61341i | ||||
\(415\) | −4.11297 | − | 1.83121i | −0.201898 | − | 0.0898906i | ||||
\(416\) | 6.13128 | − | 12.0333i | 0.300611 | − | 0.589982i | ||||
\(417\) | −5.12570 | + | 7.89288i | −0.251006 | + | 0.386516i | ||||
\(418\) | −40.1764 | − | 41.9453i | −1.96509 | − | 2.05161i | ||||
\(419\) | 4.53267 | − | 2.30951i | 0.221435 | − | 0.112827i | −0.339754 | − | 0.940514i | \(-0.610344\pi\) |
0.561190 | + | 0.827687i | \(0.310344\pi\) | |||||||
\(420\) | −6.05076 | − | 2.32267i | −0.295247 | − | 0.113335i | ||||
\(421\) | 0.716572 | − | 13.6730i | 0.0349236 | − | 0.666382i | −0.923944 | − | 0.382528i | \(-0.875054\pi\) |
0.958868 | − | 0.283854i | \(-0.0916131\pi\) | |||||||
\(422\) | −45.0546 | + | 20.0596i | −2.19322 | + | 0.976485i | ||||
\(423\) | −7.64086 | − | 13.2344i | −0.371511 | − | 0.643476i | ||||
\(424\) | 35.1393 | + | 48.3651i | 1.70651 | + | 2.34882i | ||||
\(425\) | 4.62895 | − | 1.24032i | 0.224537 | − | 0.0601646i | ||||
\(426\) | −21.1633 | − | 15.3761i | −1.02537 | − | 0.744973i | ||||
\(427\) | −3.38665 | + | 7.19914i | −0.163891 | + | 0.348391i | ||||
\(428\) | − | 16.0859i | − | 0.777542i | ||||||
\(429\) | −17.5055 | + | 1.45954i | −0.845172 | + | 0.0704673i | ||||
\(430\) | 3.48066 | − | 4.79071i | 0.167852 | − | 0.231029i | ||||
\(431\) | 6.17096 | + | 2.74749i | 0.297245 | + | 0.132342i | 0.549940 | − | 0.835204i | \(-0.314650\pi\) |
−0.252696 | + | 0.967546i | \(0.581317\pi\) | |||||||
\(432\) | 17.8522 | − | 16.0742i | 0.858915 | − | 0.773371i | ||||
\(433\) | −5.85856 | + | 15.2621i | −0.281544 | + | 0.733448i | 0.717765 | + | 0.696285i | \(0.245165\pi\) |
−0.999309 | + | 0.0371624i | \(0.988168\pi\) | |||||||
\(434\) | 11.5612 | + | 17.8027i | 0.554956 | + | 0.854557i | ||||
\(435\) | −0.0175817 | − | 0.111006i | −0.000842976 | − | 0.00532234i | ||||
\(436\) | −17.9177 | + | 24.6616i | −0.858102 | + | 1.18108i | ||||
\(437\) | 14.7819 | + | 38.5081i | 0.707114 | + | 1.84209i | ||||
\(438\) | −20.5418 | − | 10.4666i | −0.981524 | − | 0.500111i | ||||
\(439\) | −5.36057 | − | 25.2195i | −0.255846 | − | 1.20366i | −0.899009 | − | 0.437931i | \(-0.855712\pi\) |
0.643163 | − | 0.765729i | \(-0.277622\pi\) | |||||||
\(440\) | −20.6815 | + | 24.4439i | −0.985951 | + | 1.16532i | ||||
\(441\) | 11.6537 | − | 6.72829i | 0.554940 | − | 0.320395i | ||||
\(442\) | 32.9991 | + | 19.0521i | 1.56961 | + | 0.906214i | ||||
\(443\) | 9.41383 | − | 16.3052i | 0.447264 | − | 0.774685i | −0.550942 | − | 0.834543i | \(-0.685732\pi\) |
0.998207 | + | 0.0598586i | \(0.0190650\pi\) | |||||||
\(444\) | −21.0485 | − | 25.9928i | −0.998919 | − | 1.23356i | ||||
\(445\) | −18.8152 | − | 7.22247i | −0.891925 | − | 0.342378i | ||||
\(446\) | −20.6324 | − | 9.18615i | −0.976974 | − | 0.434977i | ||||
\(447\) | 7.79074 | + | 2.53137i | 0.368490 | + | 0.119730i | ||||
\(448\) | −4.87387 | − | 1.87090i | −0.230269 | − | 0.0883918i | ||||
\(449\) | 8.79951 | + | 9.77285i | 0.415275 | + | 0.461209i | 0.914097 | − | 0.405495i | \(-0.132901\pi\) |
−0.498823 | + | 0.866704i | \(0.666234\pi\) | |||||||
\(450\) | −9.64921 | − | 4.91652i | −0.454868 | − | 0.231767i | ||||
\(451\) | 0.210493 | − | 9.77254i | 0.00991173 | − | 0.460171i | ||||
\(452\) | 45.1057 | + | 20.0823i | 2.12159 | + | 0.944593i | ||||
\(453\) | −2.43835 | + | 3.75473i | −0.114564 | + | 0.176412i | ||||
\(454\) | −36.9012 | − | 50.7901i | −1.73186 | − | 2.38370i | ||||
\(455\) | −7.75996 | + | 7.75996i | −0.363792 | + | 0.363792i | ||||
\(456\) | −18.1666 | + | 27.9741i | −0.850729 | + | 1.31001i | ||||
\(457\) | 0.206527 | + | 3.94078i | 0.00966094 | + | 0.184342i | 0.999197 | + | 0.0400583i | \(0.0127544\pi\) |
−0.989536 | + | 0.144283i | \(0.953912\pi\) | |||||||
\(458\) | −15.3313 | − | 9.95623i | −0.716383 | − | 0.465224i | ||||
\(459\) | 7.09733 | + | 8.76447i | 0.331275 | + | 0.409090i | ||||
\(460\) | 38.5994 | − | 19.6674i | 1.79971 | − | 0.916996i | ||||
\(461\) | 22.1215 | + | 7.18771i | 1.03030 | + | 0.334765i | 0.774909 | − | 0.632073i | \(-0.217796\pi\) |
0.255391 | + | 0.966838i | \(0.417796\pi\) | |||||||
\(462\) | −1.35564 | − | 7.12944i | −0.0630701 | − | 0.331692i | ||||
\(463\) | 13.6469 | − | 30.6514i | 0.634225 | − | 1.42449i | −0.254963 | − | 0.966951i | \(-0.582063\pi\) |
0.889188 | − | 0.457542i | \(-0.151270\pi\) | |||||||
\(464\) | 0.0616645 | + | 0.389334i | 0.00286270 | + | 0.0180744i | ||||
\(465\) | 5.73827 | + | 11.2620i | 0.266106 | + | 0.522263i | ||||
\(466\) | −6.56689 | − | 3.79140i | −0.304205 | − | 0.175633i | ||||
\(467\) | 1.70759 | − | 32.5828i | 0.0790180 | − | 1.50775i | −0.615419 | − | 0.788200i | \(-0.711013\pi\) |
0.694437 | − | 0.719554i | \(-0.255654\pi\) | |||||||
\(468\) | −18.0386 | − | 55.5170i | −0.833832 | − | 2.56627i | ||||
\(469\) | −5.62985 | + | 3.25039i | −0.259962 | + | 0.150089i | ||||
\(470\) | 18.6182 | − | 22.9915i | 0.858792 | − | 1.06052i | ||||
\(471\) | −4.81174 | − | 12.5350i | −0.221713 | − | 0.577583i | ||||
\(472\) | −6.50910 | − | 61.9300i | −0.299606 | − | 2.85056i | ||||
\(473\) | 4.48271 | + | 0.331858i | 0.206115 | + | 0.0152588i | ||||
\(474\) | −2.69687 | − | 4.67111i | −0.123871 | − | 0.214551i | ||||
\(475\) | 13.2369 | + | 2.81358i | 0.607349 | + | 0.129096i | ||||
\(476\) | −4.34061 | + | 9.74917i | −0.198951 | + | 0.446852i | ||||
\(477\) | 24.2036 | + | 3.83347i | 1.10821 | + | 0.175523i | ||||
\(478\) | −38.0881 | + | 30.8431i | −1.74211 | + | 1.41073i | ||||
\(479\) | 2.07858 | 0.0949729 | 0.0474864 | − | 0.998872i | \(-0.484879\pi\) | ||||
0.0474864 | + | 0.998872i | \(0.484879\pi\) | |||||||
\(480\) | 2.96016 | + | 1.50828i | 0.135112 | + | 0.0688431i | ||||
\(481\) | −54.7029 | + | 14.6576i | −2.49424 | + | 0.668329i | ||||
\(482\) | −7.11424 | + | 8.78535i | −0.324045 | + | 0.400162i | ||||
\(483\) | −1.07153 | + | 5.04115i | −0.0487563 | + | 0.229380i | ||||
\(484\) | −45.8002 | − | 6.81860i | −2.08183 | − | 0.309936i | ||||
\(485\) | 20.9604 | + | 15.2286i | 0.951761 | + | 0.691495i | ||||
\(486\) | 2.09499 | − | 39.9748i | 0.0950306 | − | 1.81329i | ||||
\(487\) | −11.8622 | + | 16.3269i | −0.537527 | + | 0.739842i | −0.988254 | − | 0.152820i | \(-0.951165\pi\) |
0.450727 | + | 0.892662i | \(0.351165\pi\) | |||||||
\(488\) | 22.2724 | − | 36.7856i | 1.00823 | − | 1.66521i | ||||
\(489\) | −5.13217 | + | 15.7952i | −0.232085 | + | 0.714284i | ||||
\(490\) | 20.2456 | + | 16.3946i | 0.914603 | + | 0.740631i | ||||
\(491\) | −35.6611 | −1.60936 | −0.804682 | − | 0.593706i | \(-0.797664\pi\) | ||||
−0.804682 | + | 0.593706i | \(0.797664\pi\) | |||||||
\(492\) | −10.4608 | + | 2.22352i | −0.471611 | + | 0.100244i | ||||
\(493\) | −0.184044 | + | 0.0193438i | −0.00828892 | + | 0.000871200i | ||||
\(494\) | 58.6034 | + | 90.2413i | 2.63669 | + | 4.06015i | ||||
\(495\) | 1.09052 | + | 13.0795i | 0.0490152 | + | 0.587879i | ||||
\(496\) | −20.1259 | − | 39.4994i | −0.903682 | − | 1.77358i | ||||
\(497\) | −7.29167 | − | 10.0361i | −0.327076 | − | 0.450182i | ||||
\(498\) | −5.14921 | + | 1.97660i | −0.230742 | + | 0.0885734i | ||||
\(499\) | 1.30062 | − | 8.21177i | 0.0582236 | − | 0.367609i | −0.941323 | − | 0.337506i | \(-0.890417\pi\) |
0.999547 | − | 0.0301028i | \(-0.00958347\pi\) | |||||||
\(500\) | 5.34327 | − | 50.8378i | 0.238958 | − | 2.27354i | ||||
\(501\) | 14.7931 | − | 13.3198i | 0.660908 | − | 0.595084i | ||||
\(502\) | 13.7725 | + | 6.13191i | 0.614696 | + | 0.273680i | ||||
\(503\) | −24.2526 | + | 2.54905i | −1.08137 | + | 0.113656i | −0.628415 | − | 0.777878i | \(-0.716296\pi\) |
−0.452953 | + | 0.891534i | \(0.649630\pi\) | |||||||
\(504\) | 11.5640 | − | 5.14861i | 0.515100 | − | 0.229337i | ||||
\(505\) | −19.0578 | + | 0.998778i | −0.848062 | + | 0.0444450i | ||||
\(506\) | 41.4768 | + | 25.1528i | 1.84387 | + | 1.11818i | ||||
\(507\) | 21.2192 | + | 2.23023i | 0.942379 | + | 0.0990480i | ||||
\(508\) | −37.6433 | + | 51.8115i | −1.67015 | + | 2.29876i | ||||
\(509\) | 3.87837 | − | 10.1035i | 0.171906 | − | 0.447830i | −0.820377 | − | 0.571823i | \(-0.806237\pi\) |
0.992283 | + | 0.123993i | \(0.0395699\pi\) | |||||||
\(510\) | −4.68675 | + | 8.11769i | −0.207533 | + | 0.359457i | ||||
\(511\) | −7.73078 | − | 7.73078i | −0.341990 | − | 0.341990i | ||||
\(512\) | 41.6311 | + | 21.2121i | 1.83985 | + | 0.937451i | ||||
\(513\) | 6.62131 | + | 31.1508i | 0.292338 | + | 1.37534i | ||||
\(514\) | 1.40969 | + | 26.8986i | 0.0621789 | + | 1.18644i | ||||
\(515\) | 28.7305i | 1.26602i | ||||||||
\(516\) | −0.769333 | − | 4.85738i | −0.0338680 | − | 0.213834i | ||||
\(517\) | 22.2782 | + | 2.82779i | 0.979794 | + | 0.124366i | ||||
\(518\) | −8.38466 | − | 21.8428i | −0.368401 | − | 0.959717i | ||||
\(519\) | 3.95401 | − | 3.20189i | 0.173562 | − | 0.140547i | ||||
\(520\) | 46.0980 | − | 37.3295i | 2.02153 | − | 1.63701i | ||||
\(521\) | 7.07579 | + | 7.07579i | 0.309996 | + | 0.309996i | 0.844908 | − | 0.534912i | \(-0.179655\pi\) |
−0.534912 | + | 0.844908i | \(0.679655\pi\) | |||||||
\(522\) | 0.338327 | + | 0.245809i | 0.0148082 | + | 0.0107588i | ||||
\(523\) | −3.20085 | − | 8.33851i | −0.139964 | − | 0.364617i | 0.845625 | − | 0.533777i | \(-0.179228\pi\) |
−0.985589 | + | 0.169160i | \(0.945895\pi\) | |||||||
\(524\) | −42.1660 | + | 8.96267i | −1.84203 | + | 0.391536i | ||||
\(525\) | 1.19561 | + | 1.19561i | 0.0521808 | + | 0.0521808i | ||||
\(526\) | 0.693691 | − | 4.37979i | 0.0302464 | − | 0.190968i | ||||
\(527\) | 19.0127 | − | 8.46500i | 0.828207 | − | 0.368741i | ||||
\(528\) | 1.25928 | + | 15.1035i | 0.0548030 | + | 0.657297i | ||||
\(529\) | −6.72911 | − | 9.26183i | −0.292570 | − | 0.402688i | ||||
\(530\) | 9.86352 | + | 46.4042i | 0.428444 | + | 2.01567i | ||||
\(531\) | −19.8369 | − | 16.0636i | −0.860850 | − | 0.697103i | ||||
\(532\) | −23.4197 | + | 18.9649i | −1.01537 | + | 0.822233i | ||||
\(533\) | −3.76493 | + | 17.7126i | −0.163077 | + | 0.767219i | ||||
\(534\) | −22.5554 | + | 10.0423i | −0.976069 | + | 0.434574i | ||||
\(535\) | 2.72524 | − | 6.12100i | 0.117823 | − | 0.264634i | ||||
\(536\) | 32.0998 | − | 14.2917i | 1.38650 | − | 0.617309i | ||||
\(537\) | 0.396512 | − | 0.228926i | 0.0171107 | − | 0.00987889i | ||||
\(538\) | 16.6635 | − | 16.6635i | 0.718414 | − | 0.718414i | ||||
\(539\) | −2.49006 | + | 19.6175i | −0.107254 | + | 0.844984i | ||||
\(540\) | 31.8104 | − | 10.3358i | 1.36890 | − | 0.444784i | ||||
\(541\) | 8.89412 | − | 8.89412i | 0.382388 | − | 0.382388i | −0.489574 | − | 0.871962i | \(-0.662848\pi\) |
0.871962 | + | 0.489574i | \(0.162848\pi\) | |||||||
\(542\) | −10.9767 | − | 40.9654i | −0.471488 | − | 1.75962i | ||||
\(543\) | −6.30269 | − | 2.41937i | −0.270474 | − | 0.103825i | ||||
\(544\) | 2.73517 | − | 4.73745i | 0.117269 | − | 0.203116i | ||||
\(545\) | −10.9961 | + | 6.34862i | −0.471023 | + | 0.271945i | ||||
\(546\) | 13.4443i | 0.575363i | ||||||||
\(547\) | 5.21797 | + | 8.03496i | 0.223104 | + | 0.343550i | 0.932443 | − | 0.361318i | \(-0.117673\pi\) |
−0.709339 | + | 0.704868i | \(0.751006\pi\) | |||||||
\(548\) | −13.5230 | + | 4.39390i | −0.577676 | + | 0.187698i | ||||
\(549\) | −4.20663 | − | 17.1179i | −0.179535 | − | 0.730573i | ||||
\(550\) | 14.3321 | − | 6.91795i | 0.611123 | − | 0.294982i | ||||
\(551\) | −0.487866 | − | 0.187274i | −0.0207838 | − | 0.00797815i | ||||
\(552\) | 8.60822 | − | 26.4934i | 0.366390 | − | 1.12763i | ||||
\(553\) | −0.531802 | − | 2.50193i | −0.0226145 | − | 0.106393i | ||||
\(554\) | −14.0928 | − | 31.6530i | −0.598748 | − | 1.34481i | ||||
\(555\) | −3.60572 | − | 13.4567i | −0.153054 | − | 0.571207i | ||||
\(556\) | 38.5439 | − | 25.0307i | 1.63462 | − | 1.06154i | ||||
\(557\) | 10.5072 | − | 20.6216i | 0.445205 | − | 0.873765i | −0.553945 | − | 0.832553i | \(-0.686878\pi\) |
0.999150 | − | 0.0412115i | \(-0.0131218\pi\) | |||||||
\(558\) | −44.7293 | − | 14.5334i | −1.89354 | − | 0.615249i | ||||
\(559\) | −8.04344 | − | 2.15523i | −0.340201 | − | 0.0911567i | ||||
\(560\) | 6.69521 | + | 6.69521i | 0.282924 | + | 0.282924i | ||||
\(561\) | −7.11182 | + | 0.219284i | −0.300261 | + | 0.00925818i | ||||
\(562\) | −15.0939 | + | 26.1433i | −0.636696 | + | 1.10279i | ||||
\(563\) | −5.01596 | + | 5.57079i | −0.211398 | + | 0.234781i | −0.839513 | − | 0.543339i | \(-0.817160\pi\) |
0.628116 | + | 0.778120i | \(0.283826\pi\) | |||||||
\(564\) | −2.56826 | − | 24.4354i | −0.108143 | − | 1.02891i | ||||
\(565\) | 13.7612 | + | 15.2834i | 0.578940 | + | 0.642978i | ||||
\(566\) | −7.43470 | − | 1.99212i | −0.312504 | − | 0.0837351i | ||||
\(567\) | 1.04570 | − | 2.72414i | 0.0439152 | − | 0.114403i | ||||
\(568\) | 33.5262 | + | 58.0690i | 1.40673 | + | 2.43652i | ||||
\(569\) | 17.5050i | 0.733846i | 0.930251 | + | 0.366923i | \(0.119589\pi\) | ||||
−0.930251 | + | 0.366923i | \(0.880411\pi\) | |||||||
\(570\) | −22.1991 | + | 14.4162i | −0.929817 | + | 0.603830i | ||||
\(571\) | 1.78182 | + | 4.00203i | 0.0745668 | + | 0.167480i | 0.946983 | − | 0.321284i | \(-0.104115\pi\) |
−0.872416 | + | 0.488764i | \(0.837448\pi\) | |||||||
\(572\) | 80.9941 | + | 28.2589i | 3.38653 | + | 1.18156i | ||||
\(573\) | −5.92502 | − | 0.938431i | −0.247521 | − | 0.0392035i | ||||
\(574\) | −7.44017 | − | 0.781993i | −0.310547 | − | 0.0326398i | ||||
\(575\) | −11.2863 | + | 0.591490i | −0.470671 | + | 0.0246668i | ||||
\(576\) | 11.0007 | − | 3.57434i | 0.458362 | − | 0.148931i | ||||
\(577\) | 0.860236 | − | 5.43132i | 0.0358121 | − | 0.226109i | −0.963291 | − | 0.268461i | \(-0.913485\pi\) |
0.999103 | + | 0.0423520i | \(0.0134851\pi\) | |||||||
\(578\) | −22.5838 | − | 14.6661i | −0.939363 | − | 0.610030i | ||||
\(579\) | 6.01479 | − | 9.26196i | 0.249966 | − | 0.384914i | ||||
\(580\) | −0.142051 | + | 0.530141i | −0.00589834 | + | 0.0220129i | ||||
\(581\) | −2.61201 | + | 0.136890i | −0.108364 | + | 0.00567914i | ||||
\(582\) | 31.3491 | − | 4.96521i | 1.29946 | − | 0.205815i | ||||
\(583\) | −26.0062 | + | 24.9096i | −1.07707 | + | 1.03165i | ||||
\(584\) | 37.1891 | + | 45.9247i | 1.53890 | + | 1.90038i | ||||
\(585\) | 2.54156 | − | 24.1813i | 0.105080 | − | 0.999774i | ||||
\(586\) | −13.6224 | + | 13.6224i | −0.562738 | + | 0.562738i | ||||
\(587\) | 6.02663 | − | 0.954525i | 0.248746 | − | 0.0393975i | −0.0308163 | − | 0.999525i | \(-0.509811\pi\) |
0.279562 | + | 0.960128i | \(0.409811\pi\) | |||||||
\(588\) | 21.5170 | − | 2.26153i | 0.887346 | − | 0.0932638i | ||||
\(589\) | 58.6894 | + | 3.07578i | 2.41826 | + | 0.126735i | ||||
\(590\) | 15.2703 | − | 46.9972i | 0.628668 | − | 1.93484i | ||||
\(591\) | 8.99334 | + | 8.09764i | 0.369936 | + | 0.333092i | ||||
\(592\) | 12.6464 | + | 47.1971i | 0.519765 | + | 1.93979i | ||||
\(593\) | 0.611144 | + | 11.6613i | 0.0250967 | + | 0.478873i | 0.982049 | + | 0.188627i | \(0.0604038\pi\) |
−0.956952 | + | 0.290246i | \(0.906263\pi\) | |||||||
\(594\) | 28.5913 | + | 24.1905i | 1.17311 | + | 0.992549i | ||||
\(595\) | −3.30337 | + | 2.97437i | −0.135425 | + | 0.121937i | ||||
\(596\) | −29.7280 | − | 26.7672i | −1.21771 | − | 1.09643i | ||||
\(597\) | −2.37489 | − | 5.33408i | −0.0971976 | − | 0.218309i | ||||
\(598\) | −66.7811 | − | 60.1300i | −2.73088 | − | 2.45890i | ||||
\(599\) | 29.4238 | − | 14.9922i | 1.20222 | − | 0.612563i | 0.266001 | − | 0.963973i | \(-0.414298\pi\) |
0.936222 | + | 0.351410i | \(0.114298\pi\) | |||||||
\(600\) | −5.75152 | − | 7.10254i | −0.234805 | − | 0.289960i | ||||
\(601\) | −1.59125 | − | 1.15611i | −0.0649084 | − | 0.0471587i | 0.554858 | − | 0.831945i | \(-0.312773\pi\) |
−0.619766 | + | 0.784786i | \(0.712773\pi\) | |||||||
\(602\) | 0.538171 | − | 3.39788i | 0.0219342 | − | 0.138487i | ||||
\(603\) | 5.16162 | − | 13.4465i | 0.210198 | − | 0.547583i | ||||
\(604\) | 18.3357 | − | 11.9074i | 0.746070 | − | 0.484503i | ||||
\(605\) | −16.2726 | − | 10.3540i | −0.661577 | − | 0.420949i | ||||
\(606\) | −15.6439 | + | 17.3743i | −0.635488 | + | 0.705781i | ||||
\(607\) | −1.55762 | − | 0.506103i | −0.0632220 | − | 0.0205421i | 0.277235 | − | 0.960802i | \(-0.410582\pi\) |
−0.340457 | + | 0.940260i | \(0.610582\pi\) | |||||||
\(608\) | 12.9553 | − | 8.41326i | 0.525406 | − | 0.341203i | ||||
\(609\) | −0.0383788 | − | 0.0528239i | −0.00155519 | − | 0.00214053i | ||||
\(610\) | 28.0197 | − | 19.4789i | 1.13448 | − | 0.788680i | ||||
\(611\) | −39.5665 | − | 12.8559i | −1.60069 | − | 0.520095i | ||||
\(612\) | −6.11962 | − | 22.8387i | −0.247371 | − | 0.923202i | ||||
\(613\) | −6.23000 | − | 19.1740i | −0.251627 | − | 0.774429i | −0.994475 | − | 0.104969i | \(-0.966526\pi\) |
0.742848 | − | 0.669460i | \(-0.233474\pi\) | |||||||
\(614\) | 10.9836 | − | 24.6696i | 0.443263 | − | 0.995584i | ||||
\(615\) | −4.35725 | − | 0.926162i | −0.175701 | − | 0.0373465i | ||||
\(616\) | −4.25846 | + | 18.1078i | −0.171578 | + | 0.729585i | ||||
\(617\) | 1.32049 | − | 1.63067i | 0.0531610 | − | 0.0656484i | −0.749872 | − | 0.661583i | \(-0.769885\pi\) |
0.803033 | + | 0.595935i | \(0.203218\pi\) | |||||||
\(618\) | 24.8881 | + | 24.8881i | 1.00115 | + | 1.00115i | ||||
\(619\) | −6.43267 | + | 19.7977i | −0.258551 | + | 0.795738i | 0.734558 | + | 0.678546i | \(0.237389\pi\) |
−0.993109 | + | 0.117192i | \(0.962611\pi\) | |||||||
\(620\) | −3.23039 | − | 61.6394i | −0.129735 | − | 2.47550i | ||||
\(621\) | −12.0747 | − | 23.6980i | −0.484543 | − | 0.950968i | ||||
\(622\) | −5.32264 | − | 0.559432i | −0.213418 | − | 0.0224312i | ||||
\(623\) | −11.6444 | + | 1.22387i | −0.466523 | + | 0.0490335i | ||||
\(624\) | 2.93486 | − | 27.9234i | 0.117489 | − | 1.11783i | ||||
\(625\) | 5.83209 | − | 10.1015i | 0.233283 | − | 0.404059i | ||||
\(626\) | 84.4530 | − | 8.87637i | 3.37542 | − | 0.354771i | ||||
\(627\) | −18.1750 | − | 8.56563i | −0.725838 | − | 0.342078i | ||||
\(628\) | −3.43157 | + | 65.4783i | −0.136935 | + | 2.61287i | ||||
\(629\) | −22.4378 | + | 4.76930i | −0.894653 | + | 0.190164i | ||||
\(630\) | 10.0451 | 0.400207 | ||||||||
\(631\) | 20.1433 | + | 16.3117i | 0.801892 | + | 0.649360i | 0.940045 | − | 0.341051i | \(-0.110783\pi\) |
−0.138152 | + | 0.990411i | \(0.544116\pi\) | |||||||
\(632\) | 1.44515 | + | 13.7496i | 0.0574848 | + | 0.546931i | ||||
\(633\) | −12.0637 | + | 12.0637i | −0.479487 | + | 0.479487i | ||||
\(634\) | −27.8394 | − | 54.6379i | −1.10564 | − | 2.16995i | ||||
\(635\) | −23.1018 | + | 13.3378i | −0.916766 | + | 0.529295i | ||||
\(636\) | 33.0433 | + | 21.4586i | 1.31025 | + | 0.850888i | ||||
\(637\) | 11.3205 | − | 34.8409i | 0.448535 | − | 1.38045i | ||||
\(638\) | −0.588426 | + | 0.177276i | −0.0232960 | + | 0.00701844i | ||||
\(639\) | 26.5487 | + | 7.11370i | 1.05025 | + | 0.281414i | ||||
\(640\) | 18.9431 | + | 23.3927i | 0.748790 | + | 0.924679i | ||||
\(641\) | 0.597512 | + | 0.160103i | 0.0236003 | + | 0.00632369i | 0.270600 | − | 0.962692i | \(-0.412778\pi\) |
−0.247000 | + | 0.969016i | \(0.579445\pi\) | |||||||
\(642\) | −2.94161 | − | 7.66316i | −0.116096 | − | 0.302441i | ||||
\(643\) | 5.58888 | + | 0.885192i | 0.220404 | + | 0.0349085i | 0.265660 | − | 0.964067i | \(-0.414410\pi\) |
−0.0452557 | + | 0.998975i | \(0.514410\pi\) | |||||||
\(644\) | 14.7933 | − | 20.3612i | 0.582936 | − | 0.802343i | ||||
\(645\) | 0.530181 | − | 1.97866i | 0.0208759 | − | 0.0779098i | ||||
\(646\) | 21.7918 | + | 37.7445i | 0.857386 | + | 1.48504i | ||||
\(647\) | 0.858073 | − | 0.135905i | 0.0337343 | − | 0.00534299i | −0.139544 | − | 0.990216i | \(-0.544564\pi\) |
0.173279 | + | 0.984873i | \(0.444564\pi\) | |||||||
\(648\) | −7.16027 | + | 14.0528i | −0.281282 | + | 0.552047i | ||||
\(649\) | 36.4328 | − | 8.92590i | 1.43011 | − | 0.350372i | ||||
\(650\) | −28.4776 | + | 7.63055i | −1.11698 | + | 0.299295i | ||||
\(651\) | 5.94070 | + | 4.31617i | 0.232834 | + | 0.169164i | ||||
\(652\) | 54.2687 | − | 60.2715i | 2.12533 | − | 2.36041i | ||||
\(653\) | 11.5088 | − | 7.47392i | 0.450375 | − | 0.292477i | −0.299451 | − | 0.954112i | \(-0.596804\pi\) |
0.749827 | + | 0.661634i | \(0.230137\pi\) | |||||||
\(654\) | −4.02596 | + | 15.0251i | −0.157428 | + | 0.587528i | ||||
\(655\) | −17.5634 | − | 3.73322i | −0.686259 | − | 0.145869i | ||||
\(656\) | 15.2823 | + | 3.24835i | 0.596672 | + | 0.126827i | ||||
\(657\) | 24.0904 | + | 2.53200i | 0.939856 | + | 0.0987829i | ||||
\(658\) | 3.57347 | − | 16.8118i | 0.139308 | − | 0.655394i | ||||
\(659\) | −34.0031 | + | 7.22757i | −1.32457 | + | 0.281546i | −0.815289 | − | 0.579054i | \(-0.803422\pi\) |
−0.509282 | + | 0.860600i | \(0.670089\pi\) | |||||||
\(660\) | −6.95160 | + | 19.9243i | −0.270591 | + | 0.775552i | ||||
\(661\) | −24.9002 | − | 16.1704i | −0.968506 | − | 0.628955i | −0.0395784 | − | 0.999216i | \(-0.512602\pi\) |
−0.928928 | + | 0.370261i | \(0.879268\pi\) | |||||||
\(662\) | −20.4726 | + | 14.8742i | −0.795689 | + | 0.578102i | ||||
\(663\) | 13.0190 | + | 2.06201i | 0.505616 | + | 0.0800817i | ||||
\(664\) | 14.1182 | + | 0.739906i | 0.547894 | + | 0.0287139i | ||||
\(665\) | −12.1246 | + | 3.24879i | −0.470173 | + | 0.125983i | ||||
\(666\) | 44.8930 | + | 25.9190i | 1.73957 | + | 1.00434i | ||||
\(667\) | 0.434039 | + | 0.0456194i | 0.0168061 | + | 0.00176639i | ||||
\(668\) | −92.4511 | + | 30.0392i | −3.57704 | + | 1.16225i | ||||
\(669\) | −7.80207 | − | 0.408889i | −0.301646 | − | 0.0158086i | ||||
\(670\) | 27.8837 | 1.07724 | ||||||||
\(671\) | 23.7683 | + | 10.2989i | 0.917565 | + | 0.397586i | ||||
\(672\) | 1.93010 | 0.0744552 | ||||||||
\(673\) | −4.75711 | − | 0.249310i | −0.183373 | − | 0.00961018i | −0.0395717 | − | 0.999217i | \(-0.512599\pi\) |
−0.143801 | + | 0.989607i | \(0.545933\pi\) | |||||||
\(674\) | −32.9706 | + | 10.7128i | −1.26998 | + | 0.412642i | ||||
\(675\) | −8.67811 | − | 0.912106i | −0.334021 | − | 0.0351070i | ||||
\(676\) | −90.2330 | − | 52.0961i | −3.47050 | − | 2.00369i | ||||
\(677\) | 8.09851 | − | 2.16999i | 0.311251 | − | 0.0833994i | −0.0998123 | − | 0.995006i | \(-0.531824\pi\) |
0.411063 | + | 0.911607i | \(0.365158\pi\) | |||||||
\(678\) | 25.1603 | + | 1.31859i | 0.966275 | + | 0.0506403i | ||||
\(679\) | 14.8664 | + | 2.35461i | 0.570521 | + | 0.0903617i | ||||
\(680\) | 19.4378 | − | 14.1224i | 0.745405 | − | 0.541568i | ||||
\(681\) | −18.2137 | − | 11.8281i | −0.697951 | − | 0.453254i | ||||
\(682\) | 56.7760 | − | 39.4105i | 2.17407 | − | 1.50911i | ||||
\(683\) | 46.7532 | − | 9.93771i | 1.78896 | − | 0.380256i | 0.810347 | − | 0.585950i | \(-0.199279\pi\) |
0.978616 | + | 0.205695i | \(0.0659453\pi\) | |||||||
\(684\) | 13.8819 | − | 65.3092i | 0.530788 | − | 2.49716i | ||||
\(685\) | −5.89018 | − | 0.619083i | −0.225052 | − | 0.0236539i | ||||
\(686\) | 32.1843 | + | 6.84099i | 1.22880 | + | 0.261190i | ||||
\(687\) | −6.18552 | − | 1.31477i | −0.235992 | − | 0.0501617i | ||||
\(688\) | −1.85951 | + | 6.93980i | −0.0708933 | + | 0.264577i | ||||
\(689\) | 55.9500 | − | 36.3343i | 2.13152 | − | 1.38423i | ||||
\(690\) | 14.7918 | − | 16.4279i | 0.563114 | − | 0.625401i | ||||
\(691\) | 1.38644 | + | 1.00731i | 0.0527428 | + | 0.0383199i | 0.613844 | − | 0.789427i | \(-0.289622\pi\) |
−0.561102 | + | 0.827747i | \(0.689622\pi\) | |||||||
\(692\) | −23.9993 | + | 6.43059i | −0.912316 | + | 0.244454i | ||||
\(693\) | 4.01421 | + | 6.48282i | 0.152487 | + | 0.246262i | ||||
\(694\) | −31.9254 | + | 62.6571i | −1.21187 | + | 2.37843i | ||||
\(695\) | 18.9073 | − | 2.99462i | 0.717195 | − | 0.113593i | ||||
\(696\) | 0.176461 | + | 0.305640i | 0.00668874 | + | 0.0115852i | ||||
\(697\) | −1.89838 | + | 7.08486i | −0.0719064 | + | 0.268358i | ||||
\(698\) | −33.5076 | + | 46.1192i | −1.26828 | + | 1.74564i | ||||
\(699\) | −2.59080 | − | 0.410343i | −0.0979932 | − | 0.0155206i | ||||
\(700\) | −2.95906 | − | 7.70862i | −0.111842 | − | 0.291358i | ||||
\(701\) | 5.73365 | + | 1.53633i | 0.216557 | + | 0.0580263i | 0.365466 | − | 0.930825i | \(-0.380910\pi\) |
−0.148909 | + | 0.988851i | \(0.547576\pi\) | |||||||
\(702\) | −43.6632 | − | 53.9196i | −1.64796 | − | 2.03506i | ||||
\(703\) | −62.5693 | − | 16.7654i | −2.35984 | − | 0.632318i | ||||
\(704\) | −5.59950 | + | 16.0490i | −0.211039 | + | 0.604868i | ||||
\(705\) | 3.16252 | − | 9.73323i | 0.119107 | − | 0.366575i | ||||
\(706\) | −55.7507 | − | 36.2049i | −2.09820 | − | 1.36259i | ||||
\(707\) | −9.60163 | + | 5.54350i | −0.361106 | + | 0.208485i | ||||
\(708\) | −18.6317 | − | 36.5667i | −0.700220 | − | 1.37426i | ||||
\(709\) | −8.60110 | + | 8.60110i | −0.323021 | + | 0.323021i | −0.849925 | − | 0.526904i | \(-0.823353\pi\) |
0.526904 | + | 0.849925i | \(0.323353\pi\) | |||||||
\(710\) | 5.56195 | + | 52.9184i | 0.208736 | + | 1.98599i | ||||
\(711\) | 4.40418 | + | 3.56643i | 0.165170 | + | 0.133752i | ||||
\(712\) | 63.2860 | 2.37174 | ||||||||
\(713\) | −48.0094 | + | 10.2047i | −1.79797 | + | 0.382169i | ||||
\(714\) | −0.285002 | + | 5.43816i | −0.0106659 | + | 0.203518i | ||||
\(715\) | 26.0322 | + | 24.4749i | 0.973550 | + | 0.915309i | ||||
\(716\) | −2.22361 | + | 0.233711i | −0.0831003 | + | 0.00873420i | ||||
\(717\) | −8.47700 | + | 14.6826i | −0.316579 | + | 0.548332i | ||||
\(718\) | 2.10745 | − | 20.0511i | 0.0786494 | − | 0.748299i | ||||
\(719\) | −36.4078 | + | 3.82661i | −1.35778 | + | 0.142708i | −0.755276 | − | 0.655407i | \(-0.772497\pi\) |
−0.602505 | + | 0.798115i | \(0.705830\pi\) | |||||||
\(720\) | −20.8634 | − | 2.19283i | −0.777532 | − | 0.0817219i | ||||
\(721\) | 7.57767 | + | 14.8720i | 0.282207 | + | 0.553863i | ||||
\(722\) | 3.96327 | + | 75.6237i | 0.147498 | + | 2.81442i | ||||
\(723\) | −1.20844 | + | 3.71919i | −0.0449423 | + | 0.138318i | ||||
\(724\) | 23.3120 | + | 23.3120i | 0.866382 | + | 0.866382i | ||||
\(725\) | 0.0901086 | − | 0.111275i | 0.00334655 | − | 0.00413265i | ||||
\(726\) | −23.0656 | + | 5.12711i | −0.856046 | + | 0.190285i | ||||
\(727\) | 7.49507 | + | 1.59313i | 0.277977 | + | 0.0590858i | 0.344791 | − | 0.938680i | \(-0.387950\pi\) |
−0.0668136 | + | 0.997765i | \(0.521283\pi\) | |||||||
\(728\) | 14.0165 | − | 31.4815i | 0.519485 | − | 1.16678i | ||||
\(729\) | −1.62352 | − | 4.99668i | −0.0601304 | − | 0.185062i | ||||
\(730\) | 12.1372 | + | 45.2967i | 0.449218 | + | 1.67651i | ||||
\(731\) | −3.20785 | − | 1.04229i | −0.118646 | − | 0.0385506i | ||||
\(732\) | 5.01556 | − | 27.8937i | 0.185381 | − | 1.03098i | ||||
\(733\) | 14.0643 | + | 19.3578i | 0.519476 | + | 0.714997i | 0.985481 | − | 0.169785i | \(-0.0543073\pi\) |
−0.466006 | + | 0.884782i | \(0.654307\pi\) | |||||||
\(734\) | −5.54896 | + | 3.60354i | −0.204816 | + | 0.133009i | ||||
\(735\) | 8.57077 | + | 2.78481i | 0.316138 | + | 0.102719i | ||||
\(736\) | −8.63242 | + | 9.58727i | −0.318195 | + | 0.353392i | ||||
\(737\) | 11.1428 | + | 17.9953i | 0.410451 | + | 0.662865i | ||||
\(738\) | 13.9012 | − | 9.02752i | 0.511709 | − | 0.332307i | ||||
\(739\) | −9.73264 | + | 25.3544i | −0.358021 | + | 0.932676i | 0.629755 | + | 0.776794i | \(0.283155\pi\) |
−0.987776 | + | 0.155882i | \(0.950178\pi\) | |||||||
\(740\) | −10.6426 | + | 67.1948i | −0.391230 | + | 2.47013i | ||||
\(741\) | 30.1132 | + | 21.8785i | 1.10624 | + | 0.803727i | ||||
\(742\) | 17.3448 | + | 21.4191i | 0.636749 | + | 0.786320i | ||||
\(743\) | 0.505319 | − | 0.257473i | 0.0185384 | − | 0.00944577i | −0.444697 | − | 0.895681i | \(-0.646689\pi\) |
0.463235 | + | 0.886235i | \(0.346689\pi\) | |||||||
\(744\) | −29.4957 | − | 26.5581i | −1.08137 | − | 0.973666i | ||||
\(745\) | −6.77722 | − | 15.2219i | −0.248298 | − | 0.557687i | ||||
\(746\) | 3.78947 | + | 3.41205i | 0.138742 | + | 0.124924i | ||||
\(747\) | 4.30661 | − | 3.87769i | 0.157570 | − | 0.141877i | ||||
\(748\) | 32.1627 | + | 13.1476i | 1.17598 | + | 0.480723i | ||||
\(749\) | −0.203722 | − | 3.88724i | −0.00744383 | − | 0.142037i | ||||
\(750\) | −6.75117 | − | 25.1957i | −0.246518 | − | 0.920017i | ||||
\(751\) | 9.86854 | + | 8.88568i | 0.360108 | + | 0.324243i | 0.829248 | − | 0.558881i | \(-0.188769\pi\) |
−0.469139 | + | 0.883124i | \(0.655436\pi\) | |||||||
\(752\) | −11.0920 | + | 34.1375i | −0.404482 | + | 1.24487i | ||||
\(753\) | 5.20801 | + | 0.272940i | 0.189791 | + | 0.00994650i | ||||
\(754\) | 1.13225 | − | 0.119004i | 0.0412341 | − | 0.00433388i | ||||
\(755\) | 8.99440 | − | 1.42457i | 0.327340 | − | 0.0518455i | ||||
\(756\) | 13.7402 | − | 13.7402i | 0.499727 | − | 0.499727i | ||||
\(757\) | −5.08855 | + | 48.4144i | −0.184947 | + | 1.75965i | 0.371188 | + | 0.928558i | \(0.378950\pi\) |
−0.556135 | + | 0.831092i | \(0.687716\pi\) | |||||||
\(758\) | −13.6263 | − | 16.8271i | −0.494930 | − | 0.611188i | ||||
\(759\) | 16.5132 | + | 2.98128i | 0.599390 | + | 0.108214i | ||||
\(760\) | 67.0117 | − | 10.6136i | 2.43077 | − | 0.384996i | ||||
\(761\) | −38.3789 | + | 2.01135i | −1.39123 | + | 0.0729114i | −0.733167 | − | 0.680049i | \(-0.761959\pi\) |
−0.658066 | + | 0.752960i | \(0.728625\pi\) | |||||||
\(762\) | −8.45814 | + | 31.5662i | −0.306406 | + | 1.14352i | ||||
\(763\) | −4.01757 | + | 6.18652i | −0.145446 | + | 0.223967i | ||||
\(764\) | 24.5686 | + | 15.9550i | 0.888862 | + | 0.577233i | ||||
\(765\) | 1.54066 | − | 9.72735i | 0.0557027 | − | 0.351693i | ||||
\(766\) | 18.2634 | − | 5.93413i | 0.659883 | − | 0.214409i | ||||
\(767\) | −69.3945 | + | 3.63681i | −2.50569 | + | 0.131318i | ||||
\(768\) | 27.8866 | + | 2.93100i | 1.00627 | + | 0.105763i | ||||
\(769\) | 1.33581 | + | 0.211572i | 0.0481707 | + | 0.00762949i | 0.180473 | − | 0.983580i | \(-0.442237\pi\) |
−0.132303 | + | 0.991209i | \(0.542237\pi\) | |||||||
\(770\) | −8.93182 | + | 11.7528i | −0.321880 | + | 0.423541i | ||||
\(771\) | 3.78986 | + | 8.51217i | 0.136489 | + | 0.306558i | ||||
\(772\) | −45.2296 | + | 29.3724i | −1.62785 | + | 1.05714i | ||||
\(773\) | 36.5846i | 1.31586i | 0.753081 | + | 0.657928i | \(0.228567\pi\) | ||||
−0.753081 | + | 0.657928i | \(0.771433\pi\) | |||||||
\(774\) | 3.81109 | + | 6.60100i | 0.136987 | + | 0.237268i | ||||
\(775\) | −5.77073 | + | 15.0333i | −0.207291 | + | 0.540011i | ||||
\(776\) | −78.5844 | − | 21.0566i | −2.82102 | − | 0.755889i | ||||
\(777\) | −5.41568 | − | 6.01472i | −0.194286 | − | 0.215777i | ||||
\(778\) | −8.38631 | − | 79.7904i | −0.300664 | − | 2.86062i | ||||
\(779\) | −13.8593 | + | 15.3923i | −0.496560 | + | 0.551485i | ||||
\(780\) | 19.5464 | − | 33.8554i | 0.699875 | − | 1.21222i | ||||
\(781\) | −31.9293 | + | 24.7367i | −1.14252 | + | 0.885147i | ||||
\(782\) | −25.7380 | − | 25.7380i | −0.920388 | − | 0.920388i | ||||
\(783\) | 0.325479 | + | 0.0872117i | 0.0116317 | + | 0.00311669i | ||||
\(784\) | −30.0604 | − | 9.76722i | −1.07359 | − | 0.348829i | ||||
\(785\) | −12.3990 | + | 24.3344i | −0.442538 | + | 0.868530i | ||||
\(786\) | −18.4484 | + | 11.9806i | −0.658034 | + | 0.427333i | ||||
\(787\) | −0.00477355 | − | 0.0178151i | −0.000170159 | − | 0.000635041i | 0.965841 | − | 0.259137i | \(-0.0834380\pi\) |
−0.966011 | + | 0.258502i | \(0.916771\pi\) | |||||||
\(788\) | −24.0370 | − | 53.9880i | −0.856283 | − | 1.92324i | ||||
\(789\) | −0.318932 | − | 1.50046i | −0.0113543 | − | 0.0534177i | ||||
\(790\) | −3.39030 | + | 10.4343i | −0.120621 | + | 0.371234i | ||||
\(791\) | 11.1543 | + | 4.28175i | 0.396603 | + | 0.152242i | ||||
\(792\) | −17.9157 | − | 37.1165i | −0.636607 | − | 1.31888i | ||||
\(793\) | −39.6929 | − | 26.9686i | −1.40954 | − | 0.957684i | ||||
\(794\) | 52.2663 | − | 16.9824i | 1.85486 | − | 0.602681i | ||||
\(795\) | 8.93814 | + | 13.7635i | 0.317003 | + | 0.488142i | ||||
\(796\) | 28.5134i | 1.01063i | ||||||||
\(797\) | −6.73238 | + | 3.88694i | −0.238473 | + | 0.137683i | −0.614475 | − | 0.788936i | \(-0.710632\pi\) |
0.376002 | + | 0.926619i | \(0.377299\pi\) | |||||||
\(798\) | −7.68881 | + | 13.3174i | −0.272181 | + | 0.471431i | ||||
\(799\) | −15.7319 | − | 6.03892i | −0.556555 | − | 0.213642i | ||||
\(800\) | 1.09546 | + | 4.08832i | 0.0387305 | + | 0.144544i | ||||
\(801\) | 18.3433 | − | 18.3433i | 0.648130 | − | 0.648130i | ||||
\(802\) | −10.2890 | + | 3.34310i | −0.363317 | + | 0.118049i | ||||
\(803\) | −24.3829 | + | 25.9344i | −0.860454 | + | 0.915204i | ||||
\(804\) | 16.3747 | − | 16.3747i | 0.577493 | − | 0.577493i | ||||
\(805\) | 9.07866 | − | 5.24157i | 0.319981 | − | 0.184741i | ||||
\(806\) | −116.967 | + | 52.0772i | −4.12000 | + | 1.83434i | ||||
\(807\) | 3.31573 | − | 7.44726i | 0.116719 | − | 0.262156i | ||||
\(808\) | 54.7457 | − | 24.3744i | 1.92595 | − | 0.857487i | ||||
\(809\) | −4.20829 | + | 19.7985i | −0.147956 | + | 0.696077i | 0.840157 | + | 0.542344i | \(0.182463\pi\) |
−0.988112 | + | 0.153733i | \(0.950870\pi\) | |||||||
\(810\) | −9.72667 | + | 7.87650i | −0.341760 | + | 0.276752i | ||||
\(811\) | 21.9822 | + | 17.8008i | 0.771900 | + | 0.625072i | 0.932178 | − | 0.362000i | \(-0.117906\pi\) |
−0.160278 | + | 0.987072i | \(0.551239\pi\) | |||||||
\(812\) | 0.0662936 | + | 0.311887i | 0.00232645 | + | 0.0109451i | ||||
\(813\) | −8.62339 | − | 11.8691i | −0.302436 | − | 0.416267i | ||||
\(814\) | −70.2426 | + | 29.4783i | −2.46200 | + | 1.03322i | ||||
\(815\) | 30.8614 | − | 13.7404i | 1.08103 | − | 0.481304i | ||||
\(816\) | 1.77908 | − | 11.2327i | 0.0622802 | − | 0.393222i | ||||
\(817\) | −6.73494 | − | 6.73494i | −0.235626 | − | 0.235626i | ||||
\(818\) | −74.0731 | + | 15.7447i | −2.58990 | + | 0.550501i | ||||
\(819\) | −5.06221 | − | 13.1875i | −0.176888 | − | 0.460809i | ||||
\(820\) | 17.5989 | + | 12.7863i | 0.614580 | + | 0.446519i | ||||
\(821\) | −2.66058 | − | 2.66058i | −0.0928548 | − | 0.0928548i | 0.659154 | − | 0.752008i | \(-0.270915\pi\) |
−0.752008 | + | 0.659154i | \(0.770915\pi\) | |||||||
\(822\) | −5.63873 | + | 4.56615i | −0.196673 | + | 0.159263i | ||||
\(823\) | 29.8768 | − | 24.1937i | 1.04144 | − | 0.843341i | 0.0535600 | − | 0.998565i | \(-0.482943\pi\) |
0.987879 | + | 0.155224i | \(0.0496098\pi\) | |||||||
\(824\) | −32.3313 | − | 84.2260i | −1.12632 | − | 2.93415i | ||||
\(825\) | 3.77096 | − | 4.01090i | 0.131288 | − | 0.139642i | ||||
\(826\) | −4.49100 | − | 28.3551i | −0.156262 | − | 0.986599i | ||||
\(827\) | 17.6645i | 0.614255i | 0.951668 | + | 0.307127i | \(0.0993677\pi\) | ||||
−0.951668 | + | 0.307127i | \(0.900632\pi\) | |||||||
\(828\) | 2.91834 | + | 55.6853i | 0.101419 | + | 1.93520i | ||||
\(829\) | −6.79879 | − | 31.9858i | −0.236132 | − | 1.11091i | −0.923200 | − | 0.384320i | \(-0.874436\pi\) |
0.687068 | − | 0.726593i | \(-0.258897\pi\) | |||||||
\(830\) | 9.99622 | + | 5.09333i | 0.346974 | + | 0.176792i | ||||
\(831\) | −8.47531 | − | 8.47531i | −0.294005 | − | 0.294005i | ||||
\(832\) | 15.7446 | − | 27.2705i | 0.545846 | − | 0.945433i | ||||
\(833\) | 5.31768 | − | 13.8530i | 0.184247 | − | 0.479979i | ||||
\(834\) | 13.7846 | − | 18.9728i | 0.477320 | − | 0.656975i | ||||
\(835\) | −40.2686 | − | 4.23240i | −1.39355 | − | 0.146468i | ||||
\(836\) | 64.0683 | + | 74.3128i | 2.21585 | + | 2.57016i | ||||
\(837\) | −37.8434 | + | 1.98329i | −1.30806 | + | 0.0685524i | ||||
\(838\) | −11.5807 | + | 5.15604i | −0.400047 | + | 0.178112i | ||||
\(839\) | 40.2110 | − | 4.22635i | 1.38824 | − | 0.145910i | 0.619260 | − | 0.785186i | \(-0.287432\pi\) |
0.768977 | + | 0.639276i | \(0.220766\pi\) | |||||||
\(840\) | 7.74436 | + | 3.44801i | 0.267206 | + | 0.118968i | ||||
\(841\) | 21.5471 | − | 19.4011i | 0.743003 | − | 0.669003i | ||||
\(842\) | −3.56635 | + | 33.9316i | −0.122905 | + | 1.16936i | ||||
\(843\) | −1.63361 | + | 10.3142i | −0.0562645 | + | 0.355240i | ||||
\(844\) | 77.7795 | − | 29.8568i | 2.67728 | − | 1.02771i | ||||
\(845\) | −25.5094 | − | 35.1106i | −0.877549 | − | 1.20784i | ||||
\(846\) | 17.2882 | + | 33.9299i | 0.594379 | + | 1.16653i | ||||
\(847\) | −11.1542 | − | 1.06771i | −0.383263 | − | 0.0366869i | ||||
\(848\) | −31.3489 | − | 48.2731i | −1.07653 | − | 1.65770i | ||||
\(849\) | −2.64801 | + | 0.278317i | −0.0908795 | + | 0.00955182i | ||||
\(850\) | −11.6808 | + | 2.48283i | −0.400649 | + | 0.0851605i | ||||
\(851\) | 54.0983 | 1.85447 | ||||||||
\(852\) | 34.3427 | + | 27.8102i | 1.17656 | + | 0.952761i | ||||
\(853\) | −12.6924 | + | 39.0633i | −0.434580 | + | 1.33750i | 0.458936 | + | 0.888469i | \(0.348231\pi\) |
−0.893516 | + | 0.449031i | \(0.851769\pi\) | |||||||
\(854\) | 9.36649 | − | 17.4732i | 0.320515 | − | 0.597922i | ||||
\(855\) | 16.3469 | − | 22.4995i | 0.559051 | − | 0.769468i | ||||
\(856\) | −1.10114 | + | 21.0110i | −0.0376363 | + | 0.718143i | ||||
\(857\) | 1.07247 | + | 0.779197i | 0.0366350 | + | 0.0266169i | 0.605952 | − | 0.795501i | \(-0.292792\pi\) |
−0.569317 | + | 0.822118i | \(0.692792\pi\) | |||||||
\(858\) | 43.7524 | − | 1.34905i | 1.49368 | − | 0.0460558i | ||||
\(859\) | −3.62868 | + | 17.0716i | −0.123809 | + | 0.582475i | 0.871880 | + | 0.489719i | \(0.162901\pi\) |
−0.995689 | + | 0.0927554i | \(0.970433\pi\) | |||||||
\(860\) | −6.29534 | + | 7.77410i | −0.214669 | + | 0.265095i | ||||
\(861\) | −2.49976 | + | 0.669808i | −0.0851914 | + | 0.0228270i | ||||
\(862\) | −14.9980 | − | 7.64186i | −0.510834 | − | 0.260283i | ||||
\(863\) | −15.9227 | −0.542016 | −0.271008 | − | 0.962577i | \(-0.587357\pi\) | ||||
−0.271008 | + | 0.962577i | \(0.587357\pi\) | |||||||
\(864\) | −7.74084 | + | 6.26841i | −0.263349 | + | 0.213256i | ||||
\(865\) | −10.2216 | − | 1.61895i | −0.347546 | − | 0.0550459i | ||||
\(866\) | 16.5693 | − | 37.2153i | 0.563048 | − | 1.26463i | ||||
\(867\) | −9.11163 | − | 1.93674i | −0.309447 | − | 0.0657750i | ||||
\(868\) | −17.9296 | − | 31.0549i | −0.608569 | − | 1.05407i | ||||
\(869\) | −8.08879 | + | 1.98172i | −0.274393 | + | 0.0672253i | ||||
\(870\) | 0.0292747 | + | 0.278530i | 0.000992504 | + | 0.00944305i | ||||
\(871\) | −14.0519 | − | 36.6065i | −0.476131 | − | 1.24036i | ||||
\(872\) | 25.0918 | − | 30.9859i | 0.849717 | − | 1.04931i | ||||
\(873\) | −28.8808 | + | 16.6743i | −0.977466 | + | 0.564340i | ||||
\(874\) | −31.7624 | − | 97.7546i | −1.07438 | − | 3.30660i | ||||
\(875\) | 0.647388 | − | 12.3529i | 0.0218857 | − | 0.417604i | ||||
\(876\) | 33.7282 | + | 19.4730i | 1.13957 | + | 0.657931i | ||||
\(877\) | 25.2064 | + | 49.4703i | 0.851158 | + | 1.67049i | 0.735832 | + | 0.677164i | \(0.236791\pi\) |
0.115326 | + | 0.993328i | \(0.463209\pi\) | |||||||
\(878\) | 10.0506 | + | 63.4573i | 0.339193 | + | 2.14158i | ||||
\(879\) | −2.71062 | + | 6.08815i | −0.0914269 | + | 0.205348i | ||||
\(880\) | 21.1167 | − | 22.4603i | 0.711843 | − | 0.757138i | ||||
\(881\) | −55.1448 | − | 17.9176i | −1.85788 | − | 0.603661i | −0.995195 | − | 0.0979121i | \(-0.968784\pi\) |
−0.862681 | − | 0.505748i | \(-0.831216\pi\) | |||||||
\(882\) | −29.8776 | + | 15.2234i | −1.00603 | + | 0.512598i | ||||
\(883\) | −1.02823 | − | 1.26976i | −0.0346029 | − | 0.0427310i | 0.759551 | − | 0.650448i | \(-0.225419\pi\) |
−0.794154 | + | 0.607717i | \(0.792085\pi\) | |||||||
\(884\) | −53.9844 | − | 35.0579i | −1.81569 | − | 1.17913i | ||||
\(885\) | −0.894645 | − | 17.0708i | −0.0300732 | − | 0.573830i | ||||
\(886\) | −25.5526 | + | 39.3475i | −0.858456 | + | 1.32191i | ||||
\(887\) | −28.1599 | + | 28.1599i | −0.945517 | + | 0.945517i | −0.998591 | − | 0.0530740i | \(-0.983098\pi\) |
0.0530740 | + | 0.998591i | \(0.483098\pi\) | |||||||
\(888\) | 25.7138 | + | 35.3920i | 0.862898 | + | 1.18768i | ||||
\(889\) | −8.44051 | + | 12.9973i | −0.283086 | + | 0.435914i | ||||
\(890\) | 45.8793 | + | 20.4268i | 1.53788 | + | 0.684707i | ||||
\(891\) | −8.97021 | − | 3.12971i | −0.300513 | − | 0.104849i | ||||
\(892\) | 33.9943 | + | 17.3210i | 1.13821 | + | 0.579949i | ||||
\(893\) | −31.8407 | − | 35.3627i | −1.06551 | − | 1.18337i | ||||
\(894\) | −19.0570 | − | 7.31529i | −0.637361 | − | 0.244660i | ||||
\(895\) | −0.885722 | − | 0.287788i | −0.0296064 | − | 0.00961971i | ||||
\(896\) | 15.9755 | + | 7.11274i | 0.533703 | + | 0.237620i | ||||
\(897\) | −29.0213 | − | 11.1402i | −0.968994 | − | 0.371962i | ||||
\(898\) | −20.6229 | − | 25.4671i | −0.688194 | − | 0.849849i | ||||
\(899\) | 0.310913 | − | 0.538518i | 0.0103695 | − | 0.0179606i | ||||
\(900\) | 15.8433 | + | 9.14716i | 0.528111 | + | 0.304905i | ||||
\(901\) | 23.4018 | − | 13.5110i | 0.779625 | − | 0.450117i | ||||
\(902\) | −1.79830 | + | 24.2913i | −0.0598769 | + | 0.808813i | ||||
\(903\) | −0.247430 | − | 1.16407i | −0.00823396 | − | 0.0387377i | ||||
\(904\) | −57.5412 | − | 29.3187i | −1.91379 | − | 0.975126i | ||||
\(905\) | 4.92118 | + | 12.8201i | 0.163585 | + | 0.426155i | ||||
\(906\) | 6.55745 | − | 9.02556i | 0.217857 | − | 0.299854i | ||||
\(907\) | 6.97629 | + | 44.0465i | 0.231644 | + | 1.46254i | 0.779728 | + | 0.626118i | \(0.215357\pi\) |
−0.548084 | + | 0.836423i | \(0.684643\pi\) | |||||||
\(908\) | 57.7611 | + | 88.9443i | 1.91687 | + | 2.95172i | ||||
\(909\) | 8.80308 | − | 22.9328i | 0.291980 | − | 0.760633i | ||||
\(910\) | 20.3225 | − | 18.2985i | 0.673685 | − | 0.606589i | ||||
\(911\) | −27.3012 | − | 12.1553i | −0.904528 | − | 0.402722i | −0.0988686 | − | 0.995100i | \(-0.531522\pi\) |
−0.805660 | + | 0.592379i | \(0.798189\pi\) | |||||||
\(912\) | 18.8766 | − | 25.9814i | 0.625065 | − | 0.860328i | ||||
\(913\) | 0.707584 | + | 8.48664i | 0.0234176 | + | 0.280867i | ||||
\(914\) | − | 9.83348i | − | 0.325263i | ||||||
\(915\) | 6.63420 | − | 9.76434i | 0.219320 | − | 0.322799i | ||||
\(916\) | 24.9833 | + | 18.1514i | 0.825470 | + | 0.599739i | ||||
\(917\) | −10.0761 | + | 2.69989i | −0.332743 | + | 0.0891582i | ||||
\(918\) | −16.5185 | − | 22.7358i | −0.545193 | − | 0.750394i | ||||
\(919\) | −9.64880 | − | 16.7122i | −0.318285 | − | 0.551285i | 0.661846 | − | 0.749640i | \(-0.269773\pi\) |
−0.980130 | + | 0.198355i | \(0.936440\pi\) | |||||||
\(920\) | −51.7639 | + | 23.0468i | −1.70661 | + | 0.759830i | ||||
\(921\) | 0.488897 | − | 9.32872i | 0.0161097 | − | 0.307392i | ||||
\(922\) | −54.1115 | − | 20.7715i | −1.78207 | − | 0.684071i | ||||
\(923\) | 66.6698 | − | 33.9700i | 2.19446 | − | 1.11813i | ||||
\(924\) | 1.65662 | + | 12.1471i | 0.0544987 | + | 0.399609i | ||||
\(925\) | 9.66656 | − | 14.8852i | 0.317835 | − | 0.489422i | ||||
\(926\) | −37.9575 | + | 74.4957i | −1.24736 | + | 2.44808i | ||||
\(927\) | −33.7839 | − | 15.0416i | −1.10961 | − | 0.494030i | ||||
\(928\) | −0.0170846 | − | 0.162549i | −0.000560828 | − | 0.00533592i | ||||
\(929\) | −6.28372 | − | 29.5626i | −0.206162 | − | 0.969917i | −0.952544 | − | 0.304400i | \(-0.901544\pi\) |
0.746382 | − | 0.665518i | \(-0.231789\pi\) | |||||||
\(930\) | −12.8108 | − | 28.7736i | −0.420084 | − | 0.943524i | ||||
\(931\) | 31.1392 | − | 28.0379i | 1.02055 | − | 0.918905i | ||||
\(932\) | 10.7430 | + | 6.97659i | 0.351899 | + | 0.228526i | ||||
\(933\) | −1.78831 | + | 0.479175i | −0.0585465 | + | 0.0156875i | ||||
\(934\) | −8.49863 | + | 80.8590i | −0.278084 | + | 2.64579i | ||||
\(935\) | 10.0111 | + | 10.4518i | 0.327397 | + | 0.341811i | ||||
\(936\) | 19.7612 | + | 73.7497i | 0.645914 | + | 2.41059i | ||||
\(937\) | −21.2361 | + | 19.1211i | −0.693753 | + | 0.624658i | −0.938642 | − | 0.344893i | \(-0.887915\pi\) |
0.244889 | + | 0.969551i | \(0.421248\pi\) | |||||||
\(938\) | 14.4337 | − | 7.35432i | 0.471276 | − | 0.240127i | ||||
\(939\) | 26.1738 | − | 13.3362i | 0.854151 | − | 0.435212i | ||||
\(940\) | −33.4412 | + | 37.1402i | −1.09073 | + | 1.21138i | ||||
\(941\) | 13.6562 | − | 5.24212i | 0.445179 | − | 0.170888i | −0.125443 | − | 0.992101i | \(-0.540035\pi\) |
0.570622 | + | 0.821213i | \(0.306702\pi\) | |||||||
\(942\) | 10.3392 | + | 31.8207i | 0.336868 | + | 1.03677i | ||||
\(943\) | 7.85312 | − | 15.4126i | 0.255733 | − | 0.501904i | ||||
\(944\) | 3.13781 | + | 59.8729i | 0.102127 | + | 1.94870i | ||||
\(945\) | 7.55626 | − | 2.90058i | 0.245805 | − | 0.0943557i | ||||
\(946\) | −11.1119 | − | 1.41044i | −0.361278 | − | 0.0458573i | ||||
\(947\) | −2.61290 | + | 9.75149i | −0.0849079 | + | 0.316881i | −0.995297 | − | 0.0968731i | \(-0.969116\pi\) |
0.910389 | + | 0.413754i | \(0.135783\pi\) | |||||||
\(948\) | 4.13658 | + | 8.11850i | 0.134350 | + | 0.263677i | ||||
\(949\) | 53.3502 | − | 38.7612i | 1.73182 | − | 1.25824i | ||||
\(950\) | −32.5727 | − | 8.72784i | −1.05680 | − | 0.283168i | ||||
\(951\) | −15.7642 | − | 14.1941i | −0.511189 | − | 0.460277i | ||||
\(952\) | 6.33697 | − | 12.4370i | 0.205382 | − | 0.403085i | ||||
\(953\) | 1.29968 | + | 8.20584i | 0.0421007 | + | 0.265813i | 0.999756 | − | 0.0221050i | \(-0.00703681\pi\) |
−0.957655 | + | 0.287918i | \(0.907037\pi\) | |||||||
\(954\) | −59.7302 | − | 12.6960i | −1.93384 | − | 0.411050i | ||||
\(955\) | 6.64575 | + | 10.2336i | 0.215052 | + | 0.331150i | ||||
\(956\) | 66.9807 | − | 48.6643i | 2.16631 | − | 1.57392i | ||||
\(957\) | −0.168056 | + | 0.130198i | −0.00543249 | + | 0.00420872i | ||||
\(958\) | −5.17251 | − | 0.271080i | −0.167116 | − | 0.00875820i | ||||
\(959\) | −3.21227 | + | 1.23307i | −0.103729 | + | 0.0398180i | ||||
\(960\) | 6.70845 | + | 3.87313i | 0.216514 | + | 0.125005i | ||||
\(961\) | −8.09443 | + | 38.0813i | −0.261111 | + | 1.22843i | ||||
\(962\) | 138.039 | − | 29.3410i | 4.45054 | − | 0.945992i | ||||
\(963\) | 5.77085 | + | 6.40917i | 0.185963 | + | 0.206533i | ||||
\(964\) | 12.7783 | − | 14.1917i | 0.411561 | − | 0.457085i | ||||
\(965\) | −22.1869 | + | 3.51406i | −0.714222 | + | 0.113122i | ||||
\(966\) | 3.32393 | − | 12.4051i | 0.106946 | − | 0.399126i | ||||
\(967\) | 0.251890 | + | 0.775238i | 0.00810024 | + | 0.0249300i | 0.955025 | − | 0.296525i | \(-0.0958280\pi\) |
−0.946925 | + | 0.321455i | \(0.895828\pi\) | |||||||
\(968\) | 59.3564 | + | 12.0415i | 1.90779 | + | 0.387028i | ||||
\(969\) | 11.7169 | + | 9.48812i | 0.376400 | + | 0.304802i | ||||
\(970\) | −50.1734 | − | 40.6296i | −1.61097 | − | 1.30454i | ||||
\(971\) | 34.4412 | + | 38.2509i | 1.10527 | + | 1.22753i | 0.971632 | + | 0.236499i | \(0.0759999\pi\) |
0.133640 | + | 0.991030i | \(0.457333\pi\) | |||||||
\(972\) | −7.06840 | + | 67.2513i | −0.226719 | + | 2.15709i | ||||
\(973\) | 8.99732 | − | 6.53694i | 0.288441 | − | 0.209565i | ||||
\(974\) | 31.6481 | − | 39.0821i | 1.01407 | − | 1.25227i | ||||
\(975\) | −8.25093 | + | 5.99465i | −0.264241 | + | 0.191982i | ||||
\(976\) | −23.2683 | + | 34.2466i | −0.744799 | + | 1.09621i | ||||
\(977\) | 13.2138 | + | 40.6680i | 0.422748 | + | 1.30108i | 0.905134 | + | 0.425125i | \(0.139770\pi\) |
−0.482387 | + | 0.875958i | \(0.660230\pi\) | |||||||
\(978\) | 14.8313 | − | 38.6368i | 0.474251 | − | 1.23547i | ||||
\(979\) | 5.15135 | + | 37.7720i | 0.164638 | + | 1.20720i | ||||
\(980\) | −32.7044 | − | 29.4472i | −1.04470 | − | 0.940656i | ||||
\(981\) | −1.70837 | − | 16.2540i | −0.0545439 | − | 0.518951i | ||||
\(982\) | 88.7420 | + | 4.65077i | 2.83187 | + | 0.148412i | ||||
\(983\) | 1.41551 | − | 27.0095i | 0.0451477 | − | 0.861469i | −0.878386 | − | 0.477952i | \(-0.841379\pi\) |
0.923534 | − | 0.383517i | \(-0.125287\pi\) | |||||||
\(984\) | 13.8159 | − | 2.18822i | 0.440435 | − | 0.0697581i | ||||
\(985\) | − | 24.6158i | − | 0.784323i | ||||||
\(986\) | 0.460512 | − | 0.0241344i | 0.0146657 | − | 0.000768597i | ||||
\(987\) | −0.930098 | − | 5.87241i | −0.0296053 | − | 0.186921i | ||||
\(988\) | −90.8843 | − | 157.416i | −2.89141 | − | 5.00808i | ||||
\(989\) | 6.88883 | + | 3.97727i | 0.219052 | + | 0.126470i | ||||
\(990\) | −1.00796 | − | 32.6903i | −0.0320352 | − | 1.03897i | ||||
\(991\) | 2.18223 | + | 2.42361i | 0.0693208 | + | 0.0769885i | 0.776808 | − | 0.629738i | \(-0.216838\pi\) |
−0.707487 | + | 0.706727i | \(0.750171\pi\) | |||||||
\(992\) | 7.47635 | + | 16.7922i | 0.237374 | + | 0.533151i | ||||
\(993\) | −4.76770 | + | 7.34162i | −0.151298 | + | 0.232979i | ||||
\(994\) | 16.8363 | + | 25.9256i | 0.534015 | + | 0.822311i | ||||
\(995\) | −4.83068 | + | 10.8499i | −0.153143 | + | 0.343965i | ||||
\(996\) | 8.86136 | − | 2.87923i | 0.280783 | − | 0.0912319i | ||||
\(997\) | 15.0378 | − | 18.5701i | 0.476251 | − | 0.588121i | −0.481238 | − | 0.876590i | \(-0.659813\pi\) |
0.957489 | + | 0.288469i | \(0.0931462\pi\) | |||||||
\(998\) | −4.30750 | + | 20.2652i | −0.136352 | + | 0.641484i | ||||
\(999\) | 41.2541 | + | 6.53401i | 1.30522 | + | 0.206727i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 671.2.dc.a.6.5 | yes | 960 | |
11.2 | odd | 10 | 671.2.cu.a.189.5 | ✓ | 960 | ||
61.51 | odd | 60 | 671.2.cu.a.600.5 | yes | 960 | ||
671.112 | even | 60 | inner | 671.2.dc.a.112.5 | yes | 960 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
671.2.cu.a.189.5 | ✓ | 960 | 11.2 | odd | 10 | ||
671.2.cu.a.600.5 | yes | 960 | 61.51 | odd | 60 | ||
671.2.dc.a.6.5 | yes | 960 | 1.1 | even | 1 | trivial | |
671.2.dc.a.112.5 | yes | 960 | 671.112 | even | 60 | inner |